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)...

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Advance 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

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