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

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

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

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

y = - \frac{2}{3 e ^{2 x} + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{2}{3 e ^{2 x} + c _{1}}

y = - \frac{2}{3 e ^{2 x} + c _{1}}

ln (x + 2)

\int x^{3} 5^{- x} d x

\int (x^{2} + 2 x - 1) cos (3 x) d x

\int_{0}^{1} e^{\frac{2 x}{3}} d x

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

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