What is the solution for (dy)/(dx)=8x^3e^{-2y} ?

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

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(dy)/(dx)=8x^3e^{-2y}

\frac{d y}{d x} = 8 x^{3} e^{- 2 y}

y = \frac{ln ( 4 x ^{4} + c _{1} )}{2}

Solution steps

\frac{d y}{d x} = 8 x^{3} e^{- 2 y}

Solve separable ODE:

y = \frac{ln ( 4 x ^{4} + c _{1} )}{2}

y = \frac{ln ( 4 x ^{4} + c _{1} )}{2}

\frac{d}{d x} ((1 + tan (2 x))^{3})

\frac{d}{d t} (t e^{5 t})

\frac{\partial}{\partial x} (2 x^{4} y + 1)

\int_{1}^{2} 3^{- x} d x

\int (x^{2} - 1) d x

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