(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve this first order linear ODE

x (dy/dx)-2y=6x^{5}

2. Relevant equations

3. 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

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# Homework Help: First order linear ODE's.

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