Question

Solve the Initial Value Problem:

a) dydx+2y=9, y(0)=0 y(x)=_______________

b) dydx+ycosx=5cosx,        y(0)=7d y(x)=______________

c) Find the general solution, y(t), which solves the problem below, by the method of integrating factors.

8t dy/dt +y=t^3, t>0

Put the problem in standard form.
Then find the integrating factor, μ(t)= ,__________
and finally find y(t)= __________ . (use C as the unkown constant.)

d) Solve the following initial value problem:

t dy/dt+6y=7t

with y(1)=2

Put the problem in standard form.
Then find the integrating factor, ρ(t)= _______ ,
and finally find y(t)= _________

Answer 1