Find the solution of the following initial value problem:
y′′ + y = cost,
y(0) = 0,
y′(0) = 0.
Please show all steps and work clearly so I can follow your
logic and learn to solve similar ones myself. Will rate your
answer. Thank you kindly!
Homework 1.1. (a) Find the solution of the initial value problem
x' = x^(3/8) , x(0)=1 , for all t, where x = x(t). (b) Find the
numerical solution on the interval 0 ≤ t ≤ 1 in steps of h = 0.05
and compare its graph with that of the exact solution. You can do
this in Excel and turn in a printout of the spreadsheet and
graphs.
Solve the initial value problem dy/dx = −(2x cos(x^2))y +
6(x^2)e^(− sin(x^2)) , y(0) = −5
Solve the initial value problem dy/dt = (6t^5/(1 + t^6))y + 7(1
+ t^6)^2 , y(1) = 8.
Find the general solution of dy/dt = (2/t)*y + 3t^2* cos3t