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## Homework Statement

Solve this first order linear ODE

x (dy/dx)-2y=6x

^{5}

## Homework Equations

## The Attempt at a Solution

x (dy/dx)-2y=6x

^{5}

divide through by x

dy/dx -2y/x = 6x

^{4}

I= e

^{∫-2/x dx}

=e

^{-ln(2)}=-2

∴ -2(dy/dx) + 4y/x = -12x

^{4}

d/dx(-2y) = -12x

^{5}/5 + C

y= 6/5(x

^{5}) - C/2

this is wrong but where did I go wrong?

Thanks