Initial Value Problems

Welcome to the "Initial Value Problems" category on Questions LLC! If you are here, it means you are eager to delve into the realm of differential equations and mathematical modeling. Initial Value Problems are a fundamental concept in this field, which involves solving differential equations while considering specific initial conditions. Whether you are a student looking for assistance with homework or a math enthusiast seeking to deepen your understanding, this category is the perfect place to explore, ask questions, and find answers. Our knowledgeable community of experts is here to guide you through various aspects of Initial Value Problems, ranging from basic concepts to advanced applications. So, don't hesitate to dive in and enhance your knowledge of this fascinating area of mathematics!

Questions (58)

Using separation of variables technique, solve the following differential equation with initial condition dy/dx = (yx + 5x) /
1. 5 answers
2. asked by Anonymous
3. 2,307 views
Find the domain for the particular solution to the differential equation dx/dy=1/2x, with initial condition y(1) = 1.
1. 7 answers
2. asked by Anonymous
3. 3,212 views
Find the solution of the differential equation that satisfies the given initial condition.dy/dx= x/y, y(0) = −7
1. 5 answers
2. asked by TayB
3. 4,852 views
Find the solution r(t)of the differential equation with the given initial condition:
1. 2 answers
2. asked by val
3. 45 views
The particular solution of the differential equation dy/dt equals y over 4 for which y(0) = 20 isy = 20e−0.25t y = 19 + e0.25t
1. 4 answers
2. asked by Anonymous
3. 3,667 views
Solve the initial value problem 2y" + 5y' - 3y = 0 y(0) =7, y'(0) = 7Can someone please help. The answer I came up with is 35
1. 4 answers
2. asked by Latoya
3. 1,429 views
Solve the following differential equation with initial conditions:y"=e^(-2t) + 10^(4t); y(0)=1, y'(0) = 0
1. 4 answers
2. asked by Pax
3. 884 views
Given dy/dt=4y and y(2)=200. Find y(9)
1. 4 answers
2. asked by Will
3. 586 views
Initial Value Problemdy/dx = y^2 -5y+6 y(0)=1
1. 3 answers
2. asked by Chintu
3. 958 views
Suppose that y′=ky, y(0)=7, and y′(0)=4. What is y as a function of t ?PLEASE EXPLAIN
1. 3 answers
2. asked by Sarah
3. 963 views
Solve the initial value problem: dy/dt-y=7e^t + 10e^6t with y(0)=4y = ?
1. 2 answers
2. asked by Misha
3. 490 views
Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x, with
1. 3 answers
2. asked by Bree
3. 3,237 views
Show that the functiony=c_1 e^x cos(x)+ c_2 e^x sin(x) satisfies the differential equation y''-2y'+2y=0 for any values of c1 and
1. 3 answers
2. asked by Elyse
3. 1,573 views
Solve the initial value problem10(t+1)(dy/dt)+9y= 9t for t > -1 with y(0)=15
1. 3 answers
2. asked by Lisa
3. 615 views
Differential equations, initial value problem.The general equation of motion is: mx"+Bx'+kx=f(t), where the independent variable
1. 3 answers
2. asked by Anonymous
3. 661 views
y′′′−6y′′+ 11y′−6y= 0 wherey(0) =y′(0) = 0, y′′(0) = 2
1. 2 answers
2. asked by vcadn
3. 68 views
Solve the initial value problem 2x2y′′+xy′−3y= 0 wherey(1) = 1,y′(1) = 4.
1. 1 answer
2. asked by Domuz Gribi Hayat
3. 71 views
solve initial value problemt dy/dt = y + sqrt(t^2 + y^2) , y(1)=0
1. 1 answer
2. asked by George
3. 317 views
y"'-3y"-3y'=x^2e^x where y(0)=1, y'(0)=2, y"(0)=0show step
1. 3 answers
2. asked by mayeriwe
3. 257 views
Find the solution of the differential equation that satisfies the given initial condition.du/dt= (2t + sec^2(t))/(2u), u(0) =
1. 4 answers
2. asked by TayB
3. 724 views
The particular solution of the differential equation dy/dt=2*y for which y(0) = 60 isy = 60e2t y = 60 e0.5t y = 59 + et <- my
1. 1 answer
2. asked by Babe Mckay
3. 363 views
I cant figure out how to do this type of problem!Consider the first order differential equation
1. 1 answer
2. asked by Eric
3. 447 views
Solve the initial value problem.d^2x/dt^2+2dx/dt-3x =0, x(2π) = 1, x(2π) = 13
1. 1 answer
2. asked by gourav
3. 429 views
Solve the initial initial value problemd^2x/dt^2+2DX/dt-3x =0, x(2π) = 0, x(2π) = 13
1. 1 answer
2. asked by gourav
3. 463 views
I'm given y''= sin(x) with the initial conditions of y(0)=0 and y'(0)=2. I've already taken the integral two times to get an
1. 1 answer
2. asked by Student
3. 429 views
Solve the following initial value problem:dr/dt=7cos(pi(t)), r(1/4)=14 r(t)=?
1. 1 answer
2. asked by Max
3. 362 views
For the following initial value problem:dy/dt=1/((y+1)(t-2)), y(0)=0 a)Find a formula for the solution. b) State the domain of
1. 2 answers
2. asked by Erica
3. 466 views
For the following initial value problem:dy/dt=1/((y+1)(t-2)) a)Find a formula for the solution. b) State the domain of
1. 1 answer
2. asked by Erica
3. 642 views
For the following initial value problem:dy/dt=1/((y+1)(t-2)) a)Find a formula for the solution. b) State the domain of
1. 1 answer
2. asked by Erica
3. 424 views
If y(t)=3e^(t^2)is known to be the solution of the initial value problemy'+p(t)y=0, y(0)=y_0, what must the function p(t) and
1. 1 answer
2. asked by Joe
3. 356 views
Solve the following initial-value problem: y"+6y'+5y=0; y(0)=0. y'(0)=3
1. 2 answers
2. asked by Maegan
3. 758 views
find the particular solution y=f(x) to the differential equation with the initial condition y(-1)=3/2
1. 1 answer
2. asked by blake
3. 428 views
let y=f(x) be the particular solution for the differential equation with the initial condition y(-1_=3/2
1. 1 answer
2. asked by linda
3. 564 views
solving the initial value problem by separation of variables dy/dx=(4(sqrt of y)lnx))/x, y(e)=9
1. 1 answer
2. asked by matthew
3. 344 views
solve the initial value problem by separation of variables dy/dx=x2/y given y=-5 when x=3
1. 2 answers
2. asked by seth
3. 890 views
Solve initial value problem explicitly:1. y'= ye^-x, y(0)=1 2. y'= 5xe^-y, y(1)=1
1. 1 answer
2. asked by Leah
3. 414 views
Solve the initial value problem explicity:y'= 5xe^(-y), y(1)=1
1. 2 answers
2. asked by Tania
3. 504 views
Solve the initial-value problem.y'' - 2y' + y = 0 , y(2) = 0 , y'(2) = 1 r^2-2r+1=0, r1=r2=1 y(x)=c1*e^x+c2*x*e^x
1. 1 answer
2. asked by COFFEE
3. 493 views
solve the initial value problems:1- dq/dz = 2 + sinz, q(0)=5 2-dy/dx = (x^2 -2)x, y(2)=4 3-dy/dx = 4e^5^x + x, y(0)=4 4- dy/dx
1. 4 answers
2. asked by piper
3. 1,682 views
I'm having trouble with part of a question in a problem set. The question reads as follows:Continuous price discounting. To
1. 2 answers
2. asked by Kelly
3. 1,072 views
Could somebody please check these for me?Solve the differential equation with the given initial solution. 1. (dy/dx)=(-y/3) for
1. 1 answer
2. asked by tia
3. 1,045 views
how do you solve the initial value problem by using separation of variables dy/dx=1+x/(sqrt of y), y(2)=9
1. 2 answers
2. asked by billy
3. 1,028 views
Find f(x) by solving the initial value problem.f '(x) = 3ex - 4x; f(0) = 10 f(x) =
1. 2 answers
2. asked by Anonymous
3. 913 views
Solve the initial-value problem.y'' - 2y' + y = 0 , y(2) = 0 , y'(2) = 1
1. 2 answers
2. asked by Sandy
3. 916 views
Solve the initial value problem(dx/dt)+2x=cos(2t) with x(0)=5
1. 2 answers
2. asked by chris
3. 876 views
solve the initial value problem of the differential equation (y+sqrt(x^2+y^2))dx-xdy=0,y(3)=4
1. 2 answers
2. asked by Anonymous
3. 820 views
An initial-value problem is given by the differential equation,f(x,y)=-20xy^2, y(1)=1. Use the classical fourth-order
1. 1 answer
2. asked by enigma
3. 777 views
Let S(t) be a solution to the differential equationt dS dt − S = 3 with the initial value S(1) = 1. Which of the following is
1. 3 answers
2. asked by Anonymous
3. 660 views
solve the initial value problem by seperation of variables du/dt=2t+sec2t/2u, u(0)=-5
1. 2 answers
2. asked by joseph
3. 637 views
Can any one help with the following please:Solve the initial-value problem: problem: dy/dx: 4(3cos(6x)-1)/1+2x-sin(6x) y=12 when
1. 2 answers
2. asked by Claire
3. 618 views

Initial Value Problems

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