What is the solution for (dz)/(dt)=6te^{4z} ?

The solution for (dz)/(dt)=6te^{4z} is z=-(ln(-12t^2-c_{1}))/4

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(dz)/(dt)=6te^{4z}

\frac{d z}{d t} = 6 t e^{4 z}

z = - \frac{ln ( - 12 t ^{2} - c _{1} )}{4}

Solution steps

\frac{d z}{d t} = 6 t e^{4 z}

Solve separable ODE:

z = - \frac{ln ( - 12 t ^{2} - c _{1} )}{4}

z = - \frac{ln ( - 12 t ^{2} - c _{1} )}{4}

y^{^{'}} - 5 y = 8, e^{5 x} y (0) = 0

\frac{d x}{d t} = 2 x x

8 x \frac{d y}{d x} = - \frac{1}{y ^{3} 1 + x}

\frac{d y}{d t} + e^{t} y = 24 e^{t}

\frac{y d t}{d y} = t^{2} - 10 t + 21

What is the solution for (dz)/(dt)=6te^{4z} ?
The solution for (dz)/(dt)=6te^{4z} is z=-(ln(-12t^2-c_{1}))/4