- #1

rock.freak667

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## Homework Statement

Solve : y''+(2/x)y'+y=0 given that y=sinx/x is a solution

## Homework Equations

## The Attempt at a Solution

y=vsinx/x is the other solution

I worked out

[tex]y'=\frac{vxcosx-vsinx+v'xsinx}{x^3}[/tex]

to work out y'' got extremely confusing for me,so I used an online differentiator to do it.

It gave y'' as

[tex]\frac{x[2(cosx-sinx)v'+v''xsinx]-v[2xcosx+(x^2-2)sinx]}{x^3}[/tex]

Now when I substitute it back into the equation, I keep getting the terms for v to not cancel and I get one complex differential equation.