Question

Show by Picard iteration that the equation y''(t) = -y(t); y(1) = 0 and y'(1) =...

Show by Picard iteration that the equation y''(t) = -y(t); y(1) = 0 and y'(1) = 1 has solution y(t) = sin(t-1).

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
The nonhomogeneous equation t2 y′′−2 y=19 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular...
The nonhomogeneous equation t2 y′′−2 y=19 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms from the homogeneous solution. Enter an exact answer. Enclose arguments of functions in parentheses. For example, sin(2x). y(t)=
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.
Consider the differential equation t 2 y" + 3ty' + y = 0, t > 0....
Consider the differential equation t 2 y" + 3ty' + y = 0, t > 0. (a) Check that y1(t) = t −1 is a solution to this equation. (b) Find another solution y2(t) such that y1(t) and y2(t) are linearly independent (that is, y1(t) and y2(t) form a fundamental set of solutions for the differential equation)
y''+4y=sint + u_pi(t)sin(t-pi) y(0)=1 y'(0)=0 find the solution
y''+4y=sint + u_pi(t)sin(t-pi) y(0)=1 y'(0)=0 find the solution
y''(t)= -y(t) + s(t) y(0) = y'(0) = 0 solution: y(t) = sin(t) Explain the physical...
y''(t)= -y(t) + s(t) y(0) = y'(0) = 0 solution: y(t) = sin(t) Explain the physical meaning of the DE above and its solution in terms of the mass-spring system.
The nonhomogeneous equation t2 y′′−2 y=29 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular...
The nonhomogeneous equation t2 y′′−2 y=29 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms from the homogeneous solution.
Find a general solution to the given equation for t<0 y"(t)-1/ty'(t)+5/t^2y(t)=0
Find a general solution to the given equation for t<0 y"(t)-1/ty'(t)+5/t^2y(t)=0
Use the Laplace Transform method to solve the following differential equation problem: y 00(t) − y(t)...
Use the Laplace Transform method to solve the following differential equation problem: y 00(t) − y(t) = t + sin(t), y(0) = 0, y0 (0) = 1 Please show partial fraction steps to calculate coeffiecients.
use Laplace Transform to show that y=t is the solution to the IVP y''+ty'-y=0, y(0)=0,y'(o)=1
use Laplace Transform to show that y=t is the solution to the IVP y''+ty'-y=0, y(0)=0,y'(o)=1
Find the general solution of the equation: y" + 4y = t^2 + 3e^t salisfying y(0)...
Find the general solution of the equation: y" + 4y = t^2 + 3e^t salisfying y(0) = 1 and y'(0) = 0