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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d x} (\frac{3 x + 3}{4 e ^{x}})

\int \frac{2 x + 1}{x + 2} d x

\frac{d y}{d x} = (y + 5) (x - 2)

\frac{d}{d x} (2^{s i n (x)} \cdot t a g (x, t) (x - x^{3}))

\int \frac{x - 1}{x ^{3} + x} d x

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