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maiacaroline

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## Homework Statement

x²y''+xy'+(x²-0,25)y=0

y1= x^-1/2*sin x

## Homework Equations

Abel's equation:

W= c.e^-(integrate (p(t))

## The Attempt at a Solution

My Wronskian gave me a first order ODE that I really don't know solve.

x^-1/2*sinx y' + (1/2 x^-3/2 sin x- x^-1/2cosx) y2

I don't solved the Abel's equation cause I don't know what to do with this amount of sin and cos ahahhahaha.

Is the exercise 37 of Boyce and Diprima