What is the solution for (dy)/(e^{4y)}=e^{5t}dt ?

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

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(dy)/(e^{4y)}=e^{5t}dt

\frac{d y}{e ^{4 y}} = e^{5 t} d t

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

Solution steps

\frac{d y}{e ^{4 y}} = e^{5 t} d t

Solve separable ODE:

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

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

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