What is the solution for (dy)/(dx)=7xe^{4y} ?

The solution for (dy)/(dx)=7xe^{4y} is y=-(ln(-14x^2-c_{1}))/4

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(dy)/(dx)=7xe^{4y}

\frac{d y}{d x} = 7 x e^{4 y}

y = - \frac{ln ( - 14 x ^{2} - c _{1} )}{4}

Solution steps

\frac{d y}{d x} = 7 x e^{4 y}

Solve separable ODE:

y = - \frac{ln ( - 14 x ^{2} - c _{1} )}{4}

y = - \frac{ln ( - 14 x ^{2} - c _{1} )}{4}

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What is the solution for (dy)/(dx)=7xe^{4y} ?
The solution for (dy)/(dx)=7xe^{4y} is y=-(ln(-14x^2-c_{1}))/4