A Wronskian- variation of Params Problem

[Cocoleia]

Homework Statement

y''-4y'+4y=(12e^2x)/(x^4)
I am trying to solve this differential equation. I know you would use the variation of parameters method, and I am trouble with the wronskian. My solution manual doesn't actually use a wronskian so I can't verify my work

Homework Equations

The Attempt at a Solution

I end up with w=e^4x
w1=(-12e^4x)/(x^3)
w2=(12e^4x)/(x^4)
But at this point the integrals for u1 and u2 seem rather impossible.

 

[ehild]

Homework Statement

y''-4y'+4y=(12e^2x)/(x^4)
I am trying to solve this differential equation. I know you would use the variation of parameters method, and I am trouble with the wronskian. My solution manual doesn't actually use a wronskian so I can't verify my work

Homework Equations

The Attempt at a Solution

I end up with w=e^4x
w1=(-12e^4x)/(x^3)
w2=(12e^4x)/(x^4)
But at this point the integrals for u1 and u2 seem rather impossible.

Your Wronskian w=e^4x is correct. but what are W1 and W2? What equations do you get for the derivative of the "constants"?