What is the solution for (dy)/(dx)=8xe^{7y} ?

The solution for (dy)/(dx)=8xe^{7y} is y=-(ln(-28x^2-c_{1}))/7

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(dy)/(dx)=8xe^{7y}

\frac{d y}{d x} = 8 x e^{7 y}

y = - \frac{ln ( - 28 x ^{2} - c _{1} )}{7}

Solution steps

\frac{d y}{d x} = 8 x e^{7 y}

Solve separable ODE:

y = - \frac{ln ( - 28 x ^{2} - c _{1} )}{7}

y = - \frac{ln ( - 28 x ^{2} - c _{1} )}{7}

\int \frac{- 7}{x ^{2} + 16} d x

x \to 5 lim (\frac{( ln ( \frac{x}{5} ) )}{x ^{2} - 25})

\int \frac{1}{ln ( x ^{x} )} d x

\int \frac{x}{12} d x

x \to - 2 lim (\frac{x ^{2}}{x - 1})

What is the solution for (dy)/(dx)=8xe^{7y} ?
The solution for (dy)/(dx)=8xe^{7y} is y=-(ln(-28x^2-c_{1}))/7