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} \cdot 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} \cdot 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}

x \to 3 lim (\frac{x ^{2} + 3}{x - 1})

\int x^{2} x^{3} + 31 d x

y = \frac{3}{x}, y = \frac{x}{12}, 1 \leq x \leq 6

x \to 0 lim (- 1 + \frac{1}{x})

\int_{2}^{3} \frac{16}{3 - x} d x

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