Homework Statement
Find the general solution of the system of differential equations
x'=10x - 12y
y'=25x - 30y
(where primes indicate derivatives with respect to t) by using the initial conditions
x(0)=A
y(0)=B
Homework Equations
The Attempt at a Solution
x''=10x' - 12y'...
I have to find the particular solution to the differential equation:
(-21/4)y''+2y'+y=4xe^(3x)
First, I chose my trial function to be yp=(Ax+B)*e^(3x). Is this correct?
so yp'=3(Ax+B)*e^(3x)
yp''=9(Ax+B)*e^(3x)
So I plug these into the differential equation and I get...