What is the solution for (dy)/(dx)=e^{4x+5y} ?

The solution for (dy)/(dx)=e^{4x+5y} is y=-(ln(-5/4 e^{4x}-c_{1}))/5

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(dy)/(dx)=e^{4x+5y}

\frac{d y}{d x} = e^{4 x + 5 y}

y = - \frac{ln ( - \frac{5}{4} e ^{4 x} - c _{1} )}{5}

Solution steps

\frac{d y}{d x} = e^{4 x + 5 y}

Solve separable ODE:

y = - \frac{ln ( - \frac{5}{4} e ^{4 x} - c _{1} )}{5}

y = - \frac{ln ( - \frac{5}{4} e ^{4 x} - c _{1} )}{5}

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What is the solution for (dy)/(dx)=e^{4x+5y} ?
The solution for (dy)/(dx)=e^{4x+5y} is y=-(ln(-5/4 e^{4x}-c_{1}))/5