ive got a differential equation

y'-y=xy to the power 5,

so have let (ie. .)

Then

Turning this around we get:

So the differential equation becomes:

<-- Multiply both sides by .

and g(x)= exp^(intergral of 4 dx)

so

finally giving y= -x + 1/4 -c/e^{4x}

is this the final answer, and do i need to bring back in the substitution i did earlier?