Question

Variation of Parameters for 2ODE (N) : (Photos)

1. y′′− 2 y=3−x^-2; y1(x)=x^2, y2(x)=x−1.

Answer 1

Q1

Answer 2

Q2

Answer 3

Q3

Answer 4

Q4

Answer 5

I do not know why I keep getting the wrong general solution of N. I always have an extra term, and I can't find my misstep

Answer 6

Here are the solutions (not worked out)

Answer 7

In your answer to number 5 the C1x term and the -x term a just combined to C1x

Answer 8

Same with Q1. The -x^2/3 in the particular solution is just combined with C1x^2 in the complementary solution

Answer 9

Same with Q3. C2x^2 term is combined with the x^2 term to get (C2+1)x^2 which is just another constant in front of the x^2

Answer 10

So all your answers are essentially correct. Just group the co-efficients.

Answer 11

Awesome work, by the way.

Answer 12

Ahhh. Sleep deprived I am. Thanks!

Answer 13

Your welcome