Diff eqn- IVP

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Diff eqn- IVP

A simple pendulum of length is oscillating through a small angle θ in a medium for which the resistance is proportional to the velocity. Obtain the differential equation of its motion and discuss the motion.

Diff eqn- IVP

The differential equation that governs the forced oscillation is shown below: 0.2 d²y/dt² + 1.2 dy/dt +2y = r(t) where r(t) is the external force. Given that r(t) = 5 cos 4t with y(0) = 0 . find the equation of motion of the forced oscillations

Diff eqn- IVP

A particle moves on the x-axis with an acceleration, a=(6t-4)ms⁻1. Find the position and velocity of the particle at t=3 , if the particle is at origin and has a velocity of when t=0


If h=6, the IVP becomes dP/dt=P(7-P)-6, P(0)=Po Solve the IVP in implicit form though you should apply initial conditions. How small does Po have to be for the population to become extinct in finite time? explain using phase portrait.

algebra 1,urgent

the expression (4x^2-3x+1)-(x^3+2x+7) what is the coefficient of the x term in the simplified expression? what is an equation of a line parallel to the line with equation 2 y=14-6x a.y=-6x+18 b.y=-3x-9 c.y=6x+3 d.y=3x+8 Solve linear system, which substitution of unkowns is ...


Consider the eqn x²+2x-n =0 where n€N and n€[5,100]. Total no. Of different values of 'n' so that the given eqn has integral roots is-

Maths A level

A large cylinrical tankor radius 40cm contins a liquid and at time,t the depth is h cm. There is a hole in the bottom and liuid leaks out at a rate of 32pi h to power of 0.5. Show at time t, the heighth of the liquid in the tank satisfies the diff. eqn..dh by dt=-0.02 h to ...


Suppose that you used 0.75g of iron. What is the minimum volume of 1.5 M_ CuSO4 solution required Using eqn. (3-1)? and eqn. (3-2)?




dT/dt= k(T - Tm), t > 0 where k is a constant of proportionality, T and Tm are measured in degrees Fahrenheit, and time t is measured in hours. Because Diff wants to investigate the past using positive values of time, he decides to correspond t  0 with 6:00 A.M., and so...

Diff eq

y'(x)=sqrt2y(x)+7, y(4)=1 Solve the seperable diff eq

Algebra 1

1.To solve the linear system below, which substitution of unkowns is proper ? A.substitute 5x-16 for y in the first eqn B.substitute 5x+16 for y in the first eqn C.substitute 5x+12 for y in the first eqn D.substitute 7y-4 for x in the second eqn 2.A line with a slope of -2 ...

diff eqn.

y(t) = -0.2451 cos 4t + 0.9804 sin 4t + e^(-3t ) (A cos⁡〖t+B〗 sin⁡〖t)〗 y'(t) = ?


Put slice of "potato" in four diff bowls. Add diff "solutions" to each bowl. Which is Dependent Variable and which is Independent Variable?


The quadratic eqn x²-6x+a=0 and x²-cx+6=0 have one root in common. The other roots of the first and second eqn are integers in the ratio 4:3. Then the common roots is-

Chemistry Lab

Suppose that you used 0.75g of iron. What is the minimum volume of 1.5 M_ CuSO4 solution required Using eqn. (3-1)? and eqn. (3-2)? (3-1) Fe(s) + Cu^2+ (aq) ---- Fe^2 (aq)+ Cu (s) (3-2) 2Fe(s)+ 3Cu^2+(aq) --- 2Fe^3+ (aq) +3Cu (s)

Algebra 1

1. How many solutions does the linear system have ? 3x - y = 4 -3x + 11y = 2 2. A line passes through the points (6,4) and (5,-3). What is the equation of the line in point-slope form ? a. x - 6 = 7(y-4) b. y - 4 = 7(x-6) c. y + 6 = 7(x+4) d. y - 6 = 7(x-4) 3. A line passes ...


LOL I can't figure this out. It should be easy it's been years since I've been in school and my son has no idea. The product of two numbers is 63. Their sum is 16. What are the numbers? Thanks for the help! Let's factor 63. 1 x 63; 3 x 21; 7 x 9. Which of those pairs of ...


Solve the IVP: y' = y + y^3 , y(0)=1


How does the drag force on an object change if the object's area is halved while the wind speed is doubled, while keeping everything else the same? i think it would double if you use this eqn: f= 1/4 A v^2 can someone verify if this eqn is correct to use in this problem?


In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate the coordinates of the point of ...


In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate the coordinates of the point of ...


child's fair ticket is $5 and adult fair ticket are $5. 1050 people attend the fair. fair collects $7350. how many of each type of ticket were sold? sorry. child is $5 and adult is $8 Try this: x = no. of children attending the fair y = no. of adults attending the fair so, 5x...

physical science

if two lighting volts heat exactly they same place at they same time in are frame of ref.,it is possible that observed in other frames will see the volts heating at diff. time r at diff. places????? explain.


If heat of reaction, Ca(s) + 2H+(aq) Ca2+(aq) + H2(g) , is - 544 kJ/mol, heat of reaction, CaO(s) + 2H+(aq) Ca2+(aq) + H2O(l) , is -192 kJ/mol. and heat of formation of water is -286, what is heat of CaO? i found that the formation of CaO is -638. However, I'm confused about ...


how would i find an equation of a line that goes through points(1,6) and (3,10)?? thanks A straight line is y=mx+b Substitute the points to make two equations. 6=m(1)+b 10=m(3)+b Two equations; two unknowns, m and b. Solve for m and b, then plug back into y = mx + b. That will...


Digoxin 150 mcg is ordered IVP every a.m. The vial contains 0.5 mg in 2 mL. How many mL will you give?


a childs bank contains $6.30 in dimes and quarters. there are twice as many dimes as quarters. how many of each kind of coin are in the bank? let d = #dimes and q=#quarters. The total is worth $6.30. eqn 1 is 0.10*d + 0.25*q=$6.30 eqn 2 is 2*#quarters = #dimes or 2q=d. Two ...


1. Identify two examples of exponential r/s 2. The data below shows how the the population of the world has changed over the last three hundred years Year population(mill) 1650 500 1700 600 1750 700 1800 900 1850 1300 1900 1700 1950 2500 2000 7000 The data can be modelled by a...

Science ENGR Part 2

How many electrons are in the upper level? Problem 2 Problem 1 of chapter 6 of the course-pack. Use eqn. 2.27 for the definition of decibel. Eqn. 2.27 : A(w)=-20log|T(jw)| db Use the plot to calculate the repeater distance in a long haul optical communication system. Assume ...

Algebra 1 HELP PLZ!!!

Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 PLz HELP!! I'M NOT BOB BUT I CAN HELP ITS REALLY SIMPLE ALGEBRA X + Y = -4......EQN 1 X - Y = 2.....EQN 2 From EQN 2, let x = 2 + y Substitute that into EQN 1 x - y = -4 (2+y) + y= -4 2 + 2y= -4...


Sachin and rahul attempted to slove a quadratic eqn. Sachin made a mistake in writing down the constant term and ended up it roots (4,3). Rahul made a mistake in writing down coefficient of x to get roots (3,2) the correct roots of the eqn are:


solve the ivp dy/dx = 1/(sqrt(1-x^2)) with initial condition y(sqrt(3)/2)=0


A cylindrical drum is made to hold exactly 1m^3 in its interior. Assume that the material for the top and the bottom costs $20 per m^2, while that for the side costs $10 per m^2. Determine the radius of the drum that minimizes the cost of the material used. ____ / \ |\____/| &...


Two Boats the Picadilly and the Orange are competing for a spot in the Cup races. They race over a part of the course SEVERAL TIMES. The sample times in minutes for the Picadilly are 12.9, 12.5, 11.0, 13.3, 11.2, 11.4, 11.6, 12.3, 14.2, and 11.3. The sample times for the ...


Solve the IVP {y'=-(sinx)y + xexp(cosx) y(0) = 1 Please show me step by step. Do I need to find out if this is exact? Do I use an integrating factor?


I have beans that sell for $9 per pound and $12 per pound, they need to be mixed to create 100lbs of mixture that will sell for $11.25 per pound . How much of each type of bean should be used in the mixture? X=#lbs beans that sell for $9.00/lb. Y=#lbs beans that see for $12.00...


Methylpresnisolone (Solumedrol) is a glucocorticoid ordered for end-stage respiratory disease. You need to administer 125 mg IVP. It is available as 75 mg/mL. How many mL will you administer? Round to the nearest 10th mL. Write the NUMBER ONLY in the blank, not mL. I got 1.7 ml


Please help me on this calculus question. I am getting the wrong diff. equation and so my answers to the remaining parts are wrong. ---------------------- A thermometer reading 85 degress outside is brought into a room with a constant temperature of 72 degrees. The rate of ...

diff eq

solve 2y^2(y'')+2y(y')^2=1


If a,b,c are integers and b²=4(ac+5d²), d €N then roots of the eqn ax²+bx+c=0 are

Diff EQ

is the integration of (x-2)^2 = 1/3(x-2)^3 Yes, that is correct.


Show that if roots of eqn (a²-bc) x²+2(b²-ac)x +c²-ab=0 are equal then either b=0 or a³+b³+c³=3abc.

mathematics-simultaneous eqn

x+y+z=2 x^2+y^2+z^2=14 x^3+y^3+z^3=20 please help show workings thanks in advance

Reposted - math - Ashley's question

L=length w=width ============ eqn 1 is 2L + 2w = 28 eqn 2 is w= (1/2)L+2 =========== solve for L and w. Post your work if you get stuck. http://www.jiskha.com/display.cgi?id=1169164168 Posted by Ashley on Thursday, January 18, 2007 at 6:49pm. John made a rectangular pen for ...


diff in fact oppinion


Plz help me balance this chemical eqn H2C2O4.2H2O+KMnO4 ---->


If 2+i√3 is a root of the eqn x²+px+q=0, where p,q belongs to R, then find the ordered pair (p,q)


Let a,b and c be real numbers such that 4a+2b+c =0 and ab>0. Then the eqn ax²+bx²+cx²=0 has-


If p,q,r,s belongs to R and pr=2(q+s) then show that atleast one of the eqn x²+px+q=0,x²+rx+s=0 has real roots.


A cylindrical drum is made to hold exactly 1m^3 in its interior. Assume that the material for the top and the bottom costs $20 per m^2, while that for the side costs $10 per m^2. Determine the radius of the drum that minimizes the cost of the material used. Any help will be ...


What are the steps in finding the diff quotient for f(x)= sq rt of x?


What is the diff. Between parabola and ellipse

mathematics-equadratic eqn

Given that, x^2-4x+4 is a root of x^3+ax^2+bx-4. Find a and b please show workings #thanks

Biology - URGENT Enzyme Lab

Did a catalase producing hydrogen peroxide lab, used manganese dioxide, fresh frozen liver, potato, ice, fine clean sand, etc. Basically just added hydrogen peroxide to the catalysts under diff conditions and stuff. Just don't get this question which is : how do you account ...


trying to find the sims and differences for the following --------------------------------------- fertilization v pollination sim's both part of the process of sexual repro diff. pollination doesnt involve direct contact since it is transfer from the anther to the stamens by ...

US history

what/who did the antifederalists support? (what is diff. from them and the federalist beliefs)


diff between actual and formal parameter


state diff. between HTML AND DHTML

algebra- factoring

given the revenue eqn R(p) =-0.08p^2+300p how do i determine the demand equation?


The values of 'a' for which the sum of yhe squares of the roots of the eqn x²-(a-2)x-a-1=0 assume the least value is-


Mario is 16 years older than his sister Mercedes. Together, their ages total 36 years. How old is Mercedes? Mercedes is 20 years old. let x = Mario's age y = Mercedes' age ====================== Mario is 16 years older than Mercedes; therefore, add 16 to Mercedes' age to get ...

Thermal Physics, Kinetic Theory of Gases

Oxygen (O2) has a molar mass of 32 g/mol. (e) Suppose an oxygen molecule traveling at this speed bounces back and forth between opposite sides of a cubical vessel 0.10 m on a side. Find the average force it exerts on one of the walls of the container. (Assume that the molecule...


whats the diff b/w figure of speech and figurative language?

social studies

how is the iroquois confederacy diff. from the colonial government?


what is the the diff betwwen the three: imperative, active and passive

differential equations

the general solution of the diff. eq. y' = (1/x)(y/(1-y)) - (1-x)(y/(1-y)) in implicit form is?


What diff will appear in the mass no.if the no. of neutron is halved no. of electron is doubled in 8 O 16


The Erie Run Outlet mall has two NIKE stores, one is on Liberty street and the other on Barnes St. Two stores laid of differently, both owners claim their stores maximizes the amounts customers will impulse purchase. A sample of 10 customers at the Liberty st store revealed ...

Diff EQ

Find all critical points of the given system and investigate the stability of each. dx/dt = y - 1 dy/dt = x^2 - y


Can someone check my answer please i don't know if I am doing this right x^ (2):x= sum (x^2 )+ (x)=x^2+x diff (x^2 )-(x)= (x^2-x) Product (¡¼x)¡½^2 (x)=x^2^x


the general solution of the diff. eq. is y' = (1/x)(y/(1-y)) - (1-x)(y/(1-y)) what is the implicit form? what method would I use for this?

math grade11

for -2 < x < +3 and f(x) = 3x^2 - 6x a)determine the domain and range of f(x) b) the eqn of f inverse if f(x) is further restricted to 1 < x < 3. i don't know how to these problems i tried everything please help me


I am working on a research project. I am concerned about my opening paragraph. Could anyone read this to see if it makes sense. My topic is C. Diff. In 2009 according to the CDC and US Deparmtne of Social Secirty there were 2,437,163 people that died that year. During 2009, ...

home economics

What are the diff.tools, equipments,materials used for farm crop production.


Im so tired of being frustrated can someone help get the sum diff and product of this problem 3^x ∶ x^2-3^x+ 2

math grd 11

how do u draw an asymtote ? diff btwn set and interval notation? and example plz


can someone help me with this crazy problem please I have to do the sum diff and product for class x^3- ¡¼2x¡½^2 + 3x-1 ¡Ã x^2- x+4


CaCo3 _____ CaO+CO 2 From this eqn caculate the amount of Carbon dioxide in grams liberated by heating 25g of calcium carbonate ?


Please can you help out: 1)The Potential diff across the terminals of a battery is 8.5v when there is a current of 3amps in the cct from the -ve to the +ve terminal. When the current is 2amps in the reverse direction, the potential diff becomes 11volts. a) what is the internal...


Find the vector eqn of the plane through the points (2,1,-1) and (-1,3,4) and perpendicular to the plane x-2y+4z=10


If the roots of the quadratic eqn x²+px+q=0 are tan 30° and tan 15° respectively, then the value of 2+q-p is-


If a,b and c € R, then prove that the roots of the eqn 1/(x-a) + 1/(x-b) + 1/(x-c) =0 are always real and cannot have roots if a=b=c.


Find the vector eqn which passes through (1,1,2) and is parallel to the vector which is perpendicular to both 2i+2j-k and -3i+2j+k


If the roots of the eqn x²-2cx+ab=0 are real and unequal, then prove that the roots of x²-2(a+b)x+a²+b²+2c²=0 will be imaginary.


The roots of the eqn x^4 - 3x^2 + 5x - 2 = 0 are a, b, c, d, and a^n + b^n + c^n + d^n is denoted by S~n. The equation of the roots a^2, b^2, c^2, d^2 is y^4 - 6y^3 + 5y^2 - 13y + 4 = 0. State the value of S~2 and hence show that S~8 = 6S~6 - 5S~4 + 62.


how do u draw an asymtote ? diff btwn set and interval notation? and example plz

Calculus Help

use logarithmic diff. to find the derivative of the function. Show steps please! so I can see how it is done. Thank you so much! y=(e^(-x)cos^(2)(x))/(x^(2)+x+1)


A particle moves according to the eqn a=-kv where a is acceleration and v is the velocity and k is a constant. If initial speed is V0 find the speed at any instant


solve the equation 3y square-XY=0 equation(1) 2X-5Y=1 eqn (2)

differential equation

Write the model ODE and the implied initial values, and then solve the IVP to answer each of the f ollowing: [2*8=16pts] (a) A 3kg mass is attached to a spring whose constant is 6 N/m, and the entire system is submerged in a liquid which imparts a damping force equal to 6 ...


If a b c are non zero,unequal rational numbers then prove that the roots of the eqn (abc²) x²+ 3a²cx+b²cx-6a²-ab+2b²=0 are rational.


How do we identify or interpret when to get the screen away or towards the mirror in different situations? Please tell me diff. cases---phy practicals

math grd 11-midterm tomm

please explain how do u draw an asymtote ? and whats the diff btwn set and interval notation? and example plz thanks

Polynomials check my answer please

I need help bad i been doing this homework since i got home at 4:00 and am stuck on this problem. X -1 : X-2 =sum (x+1)+(x-2)=(x+x+1-2) diff (x+1)-(x-2)=(x-x-1-2) Product (x-1)(x-2)=(x^2-1)


can someone please help me with this problem I have to get the sum diff and product I keep trying to work it out but i really think im blowing it. x^3- ¡¼2x¡½^2 + 3x-1 ¡Ã x^2- x+4


I want to know how we know if a function is continuas or discontinuos and what are the types and diff if discontinuos functions?


i am three digit number below 100 sum of my digit is 14 and the diff is 4 who am i


sources said that differentiation of GIF is 0 but x in GIF is variable .and diff.of simple x is 1.?

Diff Eq

If y(t)=3e^(t^2)is known to be the solution of the initial value problem y'+p(t)y=0, y(0)=y_0, what must the function p(t) and the constant y_0 be?


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