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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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