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

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

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

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

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

Solution steps

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