What is the solution for 4x^2((dy)/(dx))=((dy)/(dx))+3xe^{-y} ?

The solution for 4x^2((dy)/(dx))=((dy)/(dx))+3xe^{-y} is y=ln(3/8 ln(4x^2-1)+c_{1})

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4x^2((dy)/(dx))=((dy)/(dx))+3xe^{-y}

4 x^{2} (\frac{d y}{d x}) = (\frac{d y}{d x}) + 3 x e^{- y}

y = ln (\frac{3}{8} ln (4 x^{2} - 1) + c_{1})

Solution steps

4 x^{2} (\frac{d y}{d x}) = (\frac{d y}{d x}) + 3 x e^{- y}

Solve separable ODE:

y = ln (\frac{3}{8} ln (4 x^{2} - 1) + c_{1})

y = ln (\frac{3}{8} ln (4 x^{2} - 1) + c_{1})

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

x \to 0 lim (x cos (\frac{14}{x}))

x \to 1 - lim (3 x - 2)

\frac{\partial}{\partial u} (u + v)

\int \frac{x ^{2}}{2} \frac{1}{x} d x

What is the solution for 4x^2((dy)/(dx))=((dy)/(dx))+3xe^{-y} ?
The solution for 4x^2((dy)/(dx))=((dy)/(dx))+3xe^{-y} is y=ln(3/8 ln(4x^2-1)+c_{1})