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

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

Question

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

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

anonymous · Answer

attachment

anonymous · Answer

Q1

anonymous · Answer

Q2

anonymous · Answer

Q3

anonymous · Answer

Q4

anonymous · Answer

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

anonymous · Answer

Here are the solutions (not worked out)

alekos · Answer

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

alekos · Answer

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

alekos · Answer

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

alekos · Answer

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

alekos · Answer

Awesome work, by the way.

anonymous · Answer

Ahhh. Sleep deprived  I am. Thanks!

alekos · Answer

Your welcome