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Popular Calculus >

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

Solution

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

Solution

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}

Graph

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Frequently Asked Questions (FAQ)

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