What is the solution for (1-x^2)(dy)/(dx)=xe^y ?

The solution for (1-x^2)(dy)/(dx)=xe^y is y=-ln(1/2 ln(1-x^2)-c_{1})

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(1-x^2)(dy)/(dx)=xe^y

(1 - x^{2}) \frac{d y}{d x} = x e^{y}

y = - ln (\frac{1}{2} ln (1 - x^{2}) - c_{1})

Solution steps

(1 - x^{2}) \frac{d y}{d x} = x e^{y}

Solve separable ODE:

y = - ln (\frac{1}{2} ln (1 - x^{2}) - c_{1})

y = - ln (\frac{1}{2} ln (1 - x^{2}) - c_{1})

x \to + 5 lim (\frac{( x + 1 )}{x - 5})

x = 2 3 y, x = 0, y = 9

x \to - 2 lim ((x - 1)^{3})

2 x^{2}

(2 y^{2} - x y) d x + x^{2} d y = 0

What is the solution for (1-x^2)(dy)/(dx)=xe^y ?
The solution for (1-x^2)(dy)/(dx)=xe^y is y=-ln(1/2 ln(1-x^2)-c_{1})