Question

power series involving differential equation - pic attached

Answer 1

I need help with part c. I have done parts a and b

Answer 2

Im unsure how to relate initial value problems to power series for ODE's

Answer 3

@goformit100

Answer 4

Yes you are correct

Answer 5

How am i correct, i don't know how to do part c

Answer 6

Can you help me?

Answer 7

@mathmale

Answer 8

Chris: If you have expressed both y and y' as power series, you could then look at each equation separately and substitute 0 for x and 1 for y in y(x) = .... and substitute 0 for x and 0 for y in your series for y' , focusing only on the first 3 terms. This should enable you to find the constants that make up the particular solution you want.
I'm sorry I can't stick with you 'til you complete this problem, but hope these suggesti9ons will help some. Good luck!

Answer 9

@Hero