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

The solution for (dy)/(dx)=4xe^{(3y)} is y=-(ln(-6x^2-c_{1}))/3

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(dy)/(dx)=4xe^{(3y)}

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

y = - \frac{ln ( - 6 x ^{2} - c _{1} )}{3}

Solution steps

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

Solve separable ODE:

y = - \frac{ln ( - 6 x ^{2} - c _{1} )}{3}

y = - \frac{ln ( - 6 x ^{2} - c _{1} )}{3}

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What is the solution for (dy)/(dx)=4xe^{(3y)} ?
The solution for (dy)/(dx)=4xe^{(3y)} is y=-(ln(-6x^2-c_{1}))/3