In: Advanced Math
a) Find the right form of the particular solution (you don't have to solve it)
y''-6y'+9y=6x^2+2-12e^3x
b) Solve using variation of parameters
y" + y = secx
c) define or explain the following
- Linear system
- Linear Homogenous system
- Linear Homogenous system with Constant coefficients
d) Solve the initial value problem using the D elimination
dx/dt = 4x - 3y
dy/dt = 6x-7y
Subject to the I.C
x(0) = 2
y(0) = -1