Initial value problem Euler

[lisa92]

Question:

Find y as a function of x:

x^2 y'' + 8 x y' - 18 y = x^8

y(1)=3, y'(1)=2


Attempted solution:

I found the general equation to be Ax^(-9)+Bx^2+Cx^8.
However when I try to solve the initial value problem for this equation I have 3 unknowns.

 

[Deleted member 4993]

Question:

Find y as a function of x:

x^2 y'' + 8 x y' - 18 y = x^8

y(1)=3, y'(1)=2


Attempted solution:

I found the general equation to be Ax^(-9)+Bx^2+Cx^8. <<< That does not look correct - how did you find that solution
However when I try to solve the initial value problem for this equation I have 3 unknowns.

.