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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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