What is the solution for (dz)/(dt)+9e^{8t+4z}=0 ?

The solution for (dz)/(dt)+9e^{8t+4z}=0 is z=-(ln(9/2 e^{8t}-c_{1}))/4

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(dz)/(dt)+9e^{8t+4z}=0

\frac{d z}{d t} + 9 e^{8 t + 4 z} = 0

z = - \frac{ln ( \frac{9}{2} e ^{8 t} - c _{1} )}{4}

Solution steps

\frac{d z}{d t} + 9 e^{8 t + 4 z} = 0

Solve separable ODE:

z = - \frac{ln ( \frac{9}{2} e ^{8 t} - c _{1} )}{4}

z = - \frac{ln ( \frac{9}{2} e ^{8 t} - c _{1} )}{4}

What is the solution for (dz)/(dt)+9e^{8t+4z}=0 ?
The solution for (dz)/(dt)+9e^{8t+4z}=0 is z=-(ln(9/2 e^{8t}-c_{1}))/4