What is the solution for (dy)/(dt)=7te^{2y} ?

The solution for (dy)/(dt)=7te^{2y} is y=-(ln(-7t^2-c_{1}))/2

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(dy)/(dt)=7te^{2y}

\frac{d y}{d t} = 7 t e^{2 y}

y = - \frac{ln ( - 7 t ^{2} - c _{1} )}{2}

Solution steps

\frac{d y}{d t} = 7 t e^{2 y}

Solve separable ODE:

y = - \frac{ln ( - 7 t ^{2} - c _{1} )}{2}

y = - \frac{ln ( - 7 t ^{2} - c _{1} )}{2}

\frac{\partial}{\partial x} (0.5 x arctan (\frac{y}{x}))

\int x^{2} sin (\frac{x}{2}) d x

\int \frac{1 + x}{x} d x

2 \frac{d y}{d x} - 4 x y = 8 x, y (0) = 2

\int 6 arctan (\frac{8}{x}) d x

What is the solution for (dy)/(dt)=7te^{2y} ?
The solution for (dy)/(dt)=7te^{2y} is y=-(ln(-7t^2-c_{1}))/2