Question

y^4 - y = 0 IVP (Initial Value Problem) y(0) = 0 y'(0) = 1 y''(0)...

y^4 - y = 0 IVP (Initial Value Problem)

y(0) = 0

y'(0) = 1

y''(0) = 0

y'''(0) = 0

The answer is y(t) = [sinh(t) + sin(t)] / 2 but I cannot figure out how to reach this.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following Initial Value Problem (IVP) y' = 2xy, y(0) = 1. Does the IVP...
Consider the following Initial Value Problem (IVP) y' = 2xy, y(0) = 1. Does the IVP exists unique solution? Why? If it does, find the solution by Picard iteration with y0(x) = 1.
Solve the initial value problem (IVP): (y + x 2 y)y' = y^2 + 1, y(0)...
Solve the initial value problem (IVP): (y + x 2 y)y' = y^2 + 1, y(0) = 1
1.) 25pt) Solve the IVP: (initial value problem) y’ = (3x2 + 4x + 2)/(2(y-1)), y(0)...
1.) 25pt) Solve the IVP: (initial value problem) y’ = (3x2 + 4x + 2)/(2(y-1)), y(0) = -1
Find the solution of the initial-value problem. y'' + y = 4 + 3 sin(x), y(0)...
Find the solution of the initial-value problem. y'' + y = 4 + 3 sin(x), y(0) = 7, y'(0) = 1
Consider the initial value problem y' + 5 4 y = 1 − t 5 ,    y(0)...
Consider the initial value problem y' + 5 4 y = 1 − t 5 ,    y(0) = y0. Find the value of y0 for which the solution touches, but does not cross, the t-axis. (A computer algebra system is recommended. Round your answer to three decimal places.) y0 =
The initial value problem y''' - y" + y' - y = 0, y(0) = 1,...
The initial value problem y''' - y" + y' - y = 0, y(0) = 1, y'(0) = -1, y''(0) = 3 is given. If the Laplace transform of y(t) is Y(s), first find Y(s). Then using Y(s) find the solution of the given initial value problem.
Problem 6. Use Euler’s Method to approximate the particular solution of this initial value problem (IVP):...
Problem 6. Use Euler’s Method to approximate the particular solution of this initial value problem (IVP): dydx=√y+x satisfying the initial condition y(0)=1 on the interval [0,0.4] with h = 0.1. Round ?? to 4 decimal places.
4. For the initial-value problem y′(t) = 3 + t − y(t), y(0) = 1: (i)...
4. For the initial-value problem y′(t) = 3 + t − y(t), y(0) = 1: (i) Find approximate values of the solution at t = 0.1, 0.2, 0.3, and 0.4 using the Euler method with h = 0.1. (ii) Repeat part (i) with h = 0.05. Compare the results with those found in (i). (iii) Find the exact solution y = y(t) and evaluate y(t) at t = 0.1, 0.2, 0.3, and 0.4. Compare these values with the results of...
Let y(t) be the solution of the initial-value problem y'= sin(y)e^(y2+1); y(0) = 1 Calculate limt->INF...
Let y(t) be the solution of the initial-value problem y'= sin(y)e^(y2+1); y(0) = 1 Calculate limt->INF y(t). (Hint: do not attempt to solve the ODE). THE ANSWER IS PI. PLEASE EXPLAIN CAUSE IM CONFUSED!
For the initial value problem • Solve the initial value problem. y' = 1/2−t+2y withy(0)=1
For the initial value problem • Solve the initial value problem. y' = 1/2−t+2y withy(0)=1