What is the solution for (dy)/(dx)=10xe^{5y} ?

The solution for (dy)/(dx)=10xe^{5y} is y=-(ln(-25x^2-c_{1}))/5

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(dy)/(dx)=10xe^{5y}

\frac{d y}{d x} = 10 x e^{5 y}

y = - \frac{ln ( - 25 x ^{2} - c _{1} )}{5}

Solution steps

\frac{d y}{d x} = 10 x e^{5 y}

Solve separable ODE:

y = - \frac{ln ( - 25 x ^{2} - c _{1} )}{5}

y = - \frac{ln ( - 25 x ^{2} - c _{1} )}{5}

f (x) = \frac{2}{x}

\frac{d}{d x} (sin^{3} (4 x^{2} - 1))

x \to \frac{π}{2} lim (ln (sin (x)))

\frac{2}{x}, 8 x, \frac{1}{2} x

x \to 3 lim (2 - x)

What is the solution for (dy)/(dx)=10xe^{5y} ?
The solution for (dy)/(dx)=10xe^{5y} is y=-(ln(-25x^2-c_{1}))/5