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Popular >

x^2yy^'=e^y

Solution

x^{2} y y^{^{'}} = e^{y}

Solution

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

Solution steps

x^{2} y y^{'} (x) = e^{y}

Solve separable ODE:

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

y = - W (\frac{- 1 + c _{1} x}{e x}) - 1

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(dy)/(dx)=((x-4))/((y+3))

\frac{d y}{d x} = \frac{( x - 4 )}{( y + 3 )}

Frequently Asked Questions (FAQ)

What is the solution for x^2yy^'=e^y ?
The solution for x^2yy^'=e^y is y=-\W((-1+c_{1}x)/(ex))-1