What is the solution for (dv)/(dt)=4e^{3t-4v} ?

The solution for (dv)/(dt)=4e^{3t-4v} is v=(ln(16/3 e^{3t}+c_{1}))/4

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(dv)/(dt)=4e^{3t-4v}

\frac{d v}{d t} = 4 e^{3 t - 4 v}

v = \frac{ln ( \frac{16}{3} e ^{3 t} + c _{1} )}{4}

Solution steps

\frac{d v}{d t} = 4 e^{3 t - 4 v}

Solve separable ODE:

v = \frac{ln ( \frac{16}{3} e ^{3 t} + c _{1} )}{4}

v = \frac{ln ( \frac{16}{3} e ^{3 t} + c _{1} )}{4}

x \to 0 lim (2 x ln (x))

\int 3 cos (4 x - 1) d x

\int - \frac{3 ( x - 6 )}{x ^{2} - 17 x + 72} d x

\frac{3}{s ( s ^{2} + 6 s )}

x \to 5 lim (- x^{2} + 2 x - 5)

What is the solution for (dv)/(dt)=4e^{3t-4v} ?
The solution for (dv)/(dt)=4e^{3t-4v} is v=(ln(16/3 e^{3t}+c_{1}))/4