What is the solution for (dy)/(dx)=2xe^{5y} ?

The solution for (dy)/(dx)=2xe^{5y} is y=-(ln(-5x^2-c_{1}))/5

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(dy)/(dx)=2xe^{5y}

\frac{d y}{d x} = 2 x e^{5 y}

y = - \frac{ln ( - 5 x ^{2} - c _{1} )}{5}

Solution steps

\frac{d y}{d x} = 2 x e^{5 y}

Solve separable ODE:

y = - \frac{ln ( - 5 x ^{2} - c _{1} )}{5}

y = - \frac{ln ( - 5 x ^{2} - c _{1} )}{5}

\frac{\partial}{\partial x} (x sin (2 x))

\frac{d}{d x} (21 x^{3} + \frac{9}{x})

\frac{\partial}{\partial x} (x e^{\frac{x}{y}})

(6, - 12), (10, - 8)

\int \frac{x ^{2} + 2 x}{x ^{3} + 3 x ^{2} + 1} d x

What is the solution for (dy)/(dx)=2xe^{5y} ?
The solution for (dy)/(dx)=2xe^{5y} is y=-(ln(-5x^2-c_{1}))/5