- #1
ruiwp13
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Homework Statement
Solve the following differential equation: y*e^(x^2)*dy/dx=x+xy
Homework Equations
y'+P(x)*y=Q(x)
The Attempt at a Solution
I tried to modify the equation to match the first order linear one, and I got:
e^(x^2)*dy/dx=x/y+x (divided everything by y),
but now I get:
dy/dx-x*1/y=e^(-x^2)*x
so instead of the normal form, I have now y'-P(x)*1/y = Q(x).
Did I do something wrong or missing something?
Thanks in advance