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Popular Calculus >

(dy)/(dx)=2xe^{4y}

Solution

\frac{d y}{d x} = 2 x e^{4 y}

Solution

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

Solution steps

\frac{d y}{d x} = 2 x e^{4 y}

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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