What is the solution for (dy)/(dx)=4xe^{6y} ?

The solution for (dy)/(dx)=4xe^{6y} is y=-(ln(-12x^2-c_{1}))/6

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(dy)/(dx)=4xe^{6y}

\frac{d y}{d x} = 4 x e^{6 y}

y = - \frac{ln ( - 12 x ^{2} - c _{1} )}{6}

Solution steps

\frac{d y}{d x} = 4 x e^{6 y}

Solve separable ODE:

y = - \frac{ln ( - 12 x ^{2} - c _{1} )}{6}

y = - \frac{ln ( - 12 x ^{2} - c _{1} )}{6}

\int x ln (5 x) d x

\frac{d}{d x} ((x^{2} - \frac{5}{4}) e^{x})

\frac{\partial}{\partial x} (sin (x^{2} \cdot y^{2}))

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

\int \frac{3 x}{x ^{2} - 2} d x

What is the solution for (dy)/(dx)=4xe^{6y} ?
The solution for (dy)/(dx)=4xe^{6y} is y=-(ln(-12x^2-c_{1}))/6