find the general solution .. Y=Asin4x+Bcos4x+x
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AP Calculus Help Five Questions
1. Find the particular solution to y " = 2sin(x) given the general solution y = 2sin(x) + Ax + B and the initial conditions y(pi/2) = 0 and y'(pi/2) = 2. 2. What function is a solution to the differential equation y '  y = 0? 3. If dy/dx = cos^2(pi*y/4)

calculus
Find the particular solution to y ′ = sin(x) given the general solution is y = C − cos(x) and the initial condition y(pi/2)=1

Trig
Find the general solution for the equation 4tanx+cotx=5?????? and the steps please? THANYOO!

AP Calculus
Find the particular solution to y ' = 2sin(x) given the general solution is y = C  2cos(x) and the initial condition y(pi/2) = 1

Calculus
Find the particular solution to y"=3sin(x) given the general solution y=3sin(x) +Ax+B and the initial conditions y (π/2)=π and y'(π/2)=2

maths
find the general solution of the following first order differential equation. u(t): du/dt = u /t+2t pls show all working

DIFFERENTIAL EQUATION
find the general solution .. Y=Asin4x+Bcos4x+x

trigonometry
Find the general solution for f(x) = 27 tan^2 x9=0

Writing skills
More recently, however, doctors have taken a greater interest in the field. Along with the general public, too. The most effective combo of sentence 3 and 4 would include which of the following groups of words? 1. doctors, as well as the general public, 2.

Differential Equations
Find the general solution of the given differential equation. x dy/dx − y = x^2 sin x I have solved to: y = x cos(x) + cx The second part of the question is to give the largest interval over which the general solution is defined. I would think it would

Differential equation Math
Find the general solution of the following system of equation? Please help, i don't know what to do... dx/dt = 3x +2y +2z dy/dt = 5x  4y  2z dz/dt = 5x + 5y +3z.

Math
Find the general solution for differential equation (D4  5D3 + 5D2 + 5D  6)y = 0

trig
Help find the general solution to:sin^2x3cosx+sinxcosx3sinx=0

calculusdifferential equation
Consider the differential equation: (du/dt)=u^2(t^3t) a) Find the general solution to the above differential equation. (Write the answer in a form such that its numerator is 1 and its integration constant is C). u=? b) Find the particular solution of the

Calculus
write and row reduce the augmented matrix to find the general solution. x + y  z = 7 2x  y  5z = 2 5x + 4y + 14z = 1 3x  y  7z = 5

STEVE or REINYplz help!
Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible: dx/dt=sqrt(x+t+1) Thank you in advance for your help! =)

Calculus
Find the general solution of the DE. Write your solution explicitly. y'=(y^(2)+y^(2)cosx)^2

calculusadd
(2y1)dy/dx=(3x^2+1) given that x=1 when y=2 plz show step thanks 2) (a)find the general solution of the equation (x2)dy/dx+3y(x1)/(x+1)=1 b)given the boundary condition y=5 when x=1,find the particular solution of the condition given in (a) a little

Differential Equation
Find the general solution of y"+4y'2y=0

Calculus
Solve and find the general solution of y (3x+1)y"(12x+5y)y'+6y(2x+1)=28⁴√(3x+1)³.•e^(2x) Can you help I need solution like this to follow up and solve similar question like this ......

Differential Equations
Find general solution. 2ty dy/dt = 3y^2  t^2

MATH (Problem Solving)
Find the general solution algebraically. 2 cos^2x=7cosx3

maths
how can i find a general solution of g(x)when they give me g(X) =cos (x+30)and g(X)= 2sinx

Differential Equation
Find the general solution of (D^23D+2)(D5)^Dy=0. (Hint:Use the auxiliary equation)

Differential Equations
Find the general solution of the differential equation specified. 1) dy/dt= 1/(ty+1+y+1) 2) dy/dx=sec y I got y(x)=arcsin(x) for the second one. I'm not sure what to do with the first one.

maths
find in implicit form, the general solution of the differential equation dy/dx = 2(e^xe^x)/y^2(e^x+e^x)^4

Math
Find the general solution F(x,y)=C of the differential equation: (3(x^2)y8x)dy+(3xy^28y)dx=0 Where F(x,y)=___________________

Calculus
write and row reduce the augmented matrix to find the general solution: x  2y + 13 = 0 y  4x = 17

maths
find the general solution for the equation: sin2x+ square root 3cosx =0

math
Find the general solution using the method of undetermined coefficients. y'''  10y'' + 25y' = e^(x) cos x + e^(5x) + x.

trig identites
since sin2x+√3cos2x=2sin(2x+60) find the general solution for the equation sin2x+√3cosx=0 thank you

math
Solve each equation , then write the general solution cos(pi/2(x+1))=cospi/2 x x=1.5, 3.5 general solution: 1/2+4n but the back of the book says that the general solution is 1/2+2n isn't the period 4?

CalculusHELP!!!
Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible: dx/dt=sqrt(x+t+1)

Differential equations,Calculus
So I have the following differential equation. The general solution I have is: t=k(1/r)+c I now need to find the particular solution when t=0 and the radius (r) = 1cm. So k is a constant which is approx 3.9 (5/4pi) So for the particular solution im really

Calculus
Find a general solution to each first ¨C degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible. dx/dt=¡Ì(x+t+1)

CalculusHELP PLZ !!!!
Find a general solution to the first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible. (9x^2+y1)dx(4yx)dy=0, y(1)=0

Maths
Hi I am really sorry I now people have already attempted to help me with this one already, however I am still not able to understand, I really have not done a lot of these equations and am struggling. I have put a little more information down this time,

Maths
f(x)=1+2cos2x Find min/max, period, general solution, sketch Period is 360 divided by 2? For the general solution I know it is going to be +/ (just one number) but I'm not sure how to get the value and have no idea bout the min/max

Math
Hi! Okay so I started to attempt this math problem; 3cot^2x1=0. However, I'm a little stuck. My teacher wants me to find the Location on The Unit Circle, Period, and General Solution. Can someone check what I have and help me with the rest? 3cot^2x1=0

Math (Calc) (Differential Equation Solution)
Some of the curves corresponding to different values of C in the general solution of the differential equation are shown in the graph. Find the particular solution that passes through the point (0, 2). y(x^2+y) = C 2xy + (x^2+2y)y' = 0 How would I start

Calculus
Find a general solution to each first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write all solutions explicitly if possible. dr/dè = r^(2)/è

math
(a) Find the general solution of the differential equation d y/d x =10x+5 (b) Find the solution satisfying y(1)=13

Math
The equation x + y = 1 can be viewed as a linear system of one equation in two unknowns. Express a general solution of this equation as a particular solution plus a general solution of the associated homogeneous system. Then, give a geometric

Differential Equations
Solve (D^23D+2)y =x(x+4) and show that its general solution is given by y=Ae^x + Be^2x +(x^2/2) + (7x/2) + (19/4) My work : auxiliary eqn , m^2  3m + 2= 0 m=1 , m=2 Reduced eqn : yn = Ae^x + Be^2x P.I. = 1/f(D)*F(x) = (1/(D^23D+2))*(x(x+4)) P.I. =

CalculusHELP!!!
Find the complete general solution and a particular solution that satisfies the initial conditions: 2y'' + y'  4y = 0 y(0)=0, y'(0)=1

Calculus
Find the general solution for the differential equation. Leave your solution in implicit form. dx/dt=(2x)sqrt(1x)

maths
find the general solution of the following first order differential equation. t*(dy/dt) = (y/t) + ((exp(1/t)/t^3) could you show steps in working to solution.

Differential Equation
Find the general solution of t^2y"3ty'+4y=0 on (0, infinity sign, given that Y1=t^2 is a solution

ODE
if the DE x^2.y"+xy'y=0 has a general solution c1x+c2.x^1, use the variation of parameters to find the particular solution x^2.y"+xy'y=22/x

Differential Equations
Hello, I am needing help to find the general solution to: dy/dt + y = te' Thanks!

differential Equations
Find general solution [t  sqrt(ty) ] dy/dt = y

Trig 30
How would I find the general solution for x/2=2pi/3 and x/2=pi/3?

Maths
Find the general solution to the system dx/dt=Ax where A[0,1;1,0]

Differential Equation
Find the general solution of y"3y=8e^(3t)+4sint

math
The scientists Verhulst (1828) and Peal (1930) proposed the following growth model for a population living in an environment with limited resources (e.g. space, food, sunlight, etc): = , where is the natural growth rate of the population when resources are

calculus
Sorry to post this again, but I am still unable to understand it and need help. Please help.1) Using 3(x3)(x^26x+23)^2 as the answer to differentiating f(x)=(x^26x+23)^3/2, which I have been able to do, I need to find the general solution of the

calculus
Find the general solution to the differential equation: yy’ – x2 = 3.

calculus
Find the general solution of the equation. 6t*dy/dt+y=sqrt (t),t>0.

Math DE
Find the general solution of the differential equation dy/dx4y= 5y^2

math
Find the general solution of cos2x + 3 sin x =2

CalculusHELP PLZ !!!!
Find the complete general solution to the second order DE: 4y''  9y = 0

Math
Find the general solution of the equations csc^2 θ =4/3.

Calculuscheck my answers please
dy/dx= (y^2 1)/x 1. Give the general equation of the curves that satisfy this equation. 2. Show that the straight lines y=1 and y=1 are also solutions 3. Do any of the curves you found in 1) intersect y=1? My Ans: 1. The general solution i found out to

calculus
find the general solution to the differential equation. dy/dx=secxtanxe^x

calculus
find the general solution x^22(e^y)dy/dx = y^3+e(x^2) i am getting the y^3 dx when i do seperation of variables how do i deal with this.

CalculusHELP PLZ !!!!
Find the complete general solution to the 2nd ODE: 9y'' + 9y'  4y = 0

trig
Find the general solution for x if cos2x + sin3x = sinx

calculus
find the general solution x^22(e^y)dy/dx = y^3+e(x^2) i am getting the y^3 dx when i do seperation of variables how do i deal with this.

calculus
Please help with this question. I have a general solution to a differential equation of 18y^3/2= TOP LINE OF FRACTION is 2(x^26x+23)^3/2 and this is divided by 3. What is the particular solution for which y=2 when x=1. Then I need this particular solution

Math
Hi! Can someone help me with these? I just learned about them yesterday but I'm really confused. All my teacher wants me to do is solve each equation and that's all the directions she gave. Thanks so much! 1.) 3cot^2 x1=0 Location on Unit Circle: Period:

math
find general solution of y¡±y¡¯=squre of sinx by variation parameter

math
find general solution in implicit form of differential equation dy/dx= 2(e^xe^x)/y^2(e^x+e^x)^4 (y>0)

trig
Help find the general solution to:sin^2x3cosx+sinxcosx3sinx=0

Maths: calculus
Solve and find the general solution of y (3x+1)y"(12x+5y)y'+6y(2x+1)=28⁴√(3x+1)³.•e²x Help me out please ......

Math
If someone could help me with these that would be great! :) Directions: Solve the equations. 1.) tan4x=1 Location on Unit Circle: Period: General Solution: 2.) sec xcsc x=2 csc x Location on Unit Circle: Period: General Solution:

PreCalculus
So I'm given a general equation and am expected to get the location on the unit circle, the period, and the general solution to it. The equation is (3cot^2)2x1 = 0. I've gotten it down to (cot^2)2x = 1/3 but I have no clue what to do next. Please help!

Calculus
write and row reduce the augmented matrix to find the general solution: 2x  z = 2 6x + 5y + 3z = 7 2x  y = 4

Math
Hi! If someone can help me with these, that would be great! Thanks! Directions: Solve each equation. 1.) 2cosx+sqrt2=0 Location on Unit Circle: Period: General Solution: 2.) 3cot^2x1=0 Location on Unit Circle: Period: General Solution:

Differential Equations (Another) Cont.
For the following initial value problem: dy/dt=1/((y+1)(t2)) a)Find a formula for the solution. b) State the domain of definition of the solution. c) Describe what happens to the solution as it approaches the limit of its domain of definition. Why can't

mathematics
find the general solution of the following first order differential equation. u(t): du/dt =(u/(t+2t)) pls show all working

trig
SOlve over (2,pie) and find the general solution in radians. 2sin3x = square root of 2

math
Can someone please explain this problem Find the general solution to the linear system of differential equations. x'1 x'2 x'3 = −4 −4 5 0 −4 4 0 4 2 x1 x2 x3

mathematics
find the general solution to the following differential equation dy/dx=(In(x))/(x^2)*y^1/2 (x>0,(y>0)give answer in implicit form.

calculus
verify that y=c/x^2 is a general solution of the differential equation y'+(2/x) y=06y=0 then find a particular solution of the differential equation that satisfies the side condition y(1)=2

maths
find the general solution of the following first order differential equation. dx/dt = t*x + 6*t(exp)t^2 pls show working

maths
please help find the general solution of the following first order differential equation. dx/dt = tx + 6t(exp)t^2 pls show working

maths
help find the general solution of the following first order differential equation. t*(dy/dt) = (y/t) + ((exp(1/t)/t^3) could you show steps in working to sol.

calculus differential equation
Find in implicit form the general solution of differential equation dy/dx=2(e^xe^x)/y^2(e^x+e^x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.

Math
Find the general solution to the differential equation that models the statement:"The rate of change of P with respect to x is proportional to 15x.

calculus differential equation
Find in implicit form the general solution of differential equation dy/dx=2(e^xe^x)/y^2(e^x+e^x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.

calculus
Please help with this question. I have a general solution to a differential equation of 18y^3/2= TOP LINE OF FRACTION is 2(x^26x+23)^3/2 and this is divided by 3.plus Constant .I work out constant c to be zero. Is this correct? What is the particular

Maths:Calculus
For "Y" and what is the general solution] y[2x³D³+12x²D²+14xDx+2]=[12+(4/x)] Please Help me with details solution....this one is kinda hard for me

accounting
Your review of the general ledger of Home Interior Improvements and Designs Company reveals a beginning capital balance of $25,000. You also review the general journal for the accounting period and find the closing entries shown on the next page.Prepare a

2nd Order linear ODEs
I'm having trouble solving this problem: For the equation x^(2)y′′  xy′ = 0 , find two solutions, show that they are linearly independent and find the general solution. Hint: Try y = x^(r). I divided the equation by x^(2) first to simplify it, and

math
The scientists Verhulst (1828) where is the natural growth rate of the population when resources are limited and is a positive constant called carrying capacity of the environment. (a) Using sign analysis, find all constant solution and discuss the general

Algebra
Find the general term in simplest form for the sequence 2,1,4,7,10,13,16. There's an addition of 3 with alternating signs I think but I'm unable to find a general term.

Marketing
Hello, My group has been assigned to do a General Market Survey on a foreign country (we picked France). Can anyone give us some pointers on what topics/statistics to include, where to find information, anything at all? We are to use secondary data to

math
Find the solution where x and y are integers to: 1/x + 1/y = 1/14 I can use a computer to get a list of solutions: 7, 14 10, 35 12, 84 13, 182 15, 210 16, 112 18, 63 21, 42 28, 28 but I'm having trouble solving this analytically and coming to a

Math, statistics
Problem 1: The PDF of exp(X) (6/6 points) Let X be a random variable with PDF fX. Find the PDF of the random variable Y=eX for each of the following cases: For general fX, when y>0, fY(y)= Solution: f_x(ln(y))/y When fX(x) = {1/3,0,if −2

math
Given that sinx = cos(x+20o) write tanx in terms of sin20o and cos 20o. a) Hence find the values of tan x. b) Find the general solution of 3sec2y=5(1+tany)