Explain the process of using Laplace transforms for solving a
difference equation with an initial condition. You may illustrate
with an example, but you don’t have to solve the whole thing
out.
For this Variation of parameter problem, consider the following
method of solving the general linear equation of first order
y' + p(t)y= g(t)
(a) If g(t) = 0 for all t, show that the solution is
y= Aexp[ - the integral of p(t)dt] , where A is a constant
Please use good handwriting and show as many steps as possible.
Thank you.
Find a general solution to the differential equation using the
method of variation of parameters.
y''+ 25y= sec5t
The general solution is y(t)= ___
y''+9y= csc^2(3t)
The general solution is y(t)= ___