What is the solution for y*e^ydx+(1+x*e^y)dy=0,y(5)=0,y=y ?

The solution for y*e^ydx+(1+x*e^y)dy=0,y(5)=0,y=y is y=\W(1/(e^{(c_{1))/x}x})+(c_{1})/x

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ye^ydx+(1+xe^y)dy=0,y(5)=0,y=y

y \cdot e^{y} d x + (1 + x \cdot e^{y}) d y = 0, y (5) = 0, y = y

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

Solution steps

y \cdot e^{y} d x + (1 + x \cdot e^{y}) d y = 0

Solve exact ODE:

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

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

f (t) = 8 t - 9 t^{2}

\frac{\partial}{\partial x} (e^{x y} + 2 x - 5 y)

y^{^{''}} + 8 y^{^{'}} + 7 y = 0, y (0) = 6, y^{^{'}} (0) = - 1

\frac{d ^{2}}{d x ^{2}} (x^{4} - 6 x^{3})

\frac{\partial}{\partial x} (\frac{7 x}{x ^{2} + y ^{2}})

What is the solution for y*e^ydx+(1+x*e^y)dy=0,y(5)=0,y=y ?
The solution for y*e^ydx+(1+x*e^y)dy=0,y(5)=0,y=y is y=\W(1/(e^{(c_{1))/x}x})+(c_{1})/x