- #1
kathrynag
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Homework Statement
Si(x)=[tex]\int(sint/t)dt[/tex] from 0 to x
integrand is 1 at t=0
express the solutiony(x) of the initial value problem x^3y'+2x^2y=10sinx, y(0)=0 in terms of Si(x)
Homework Equations
The Attempt at a Solution
y'+2/xy=10x^-3sinx
multiply by x^2
x^2y'+2xy=10x^-2sinx
(x^2y)'=10x^-2sinx
Now I get stuck because I feel like this can't be integrated and I don't think i can just insert Si(x) because I need to account for 10x^-2.