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

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

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

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

y = e^{\frac{1}{3} e^{3 x} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{1}{3} e^{3 x} + c_{1}}

y = e^{\frac{1}{3} e^{3 x} + c_{1}}

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