What is the solution for (dt)/(dx)=3xt^2 ?

The solution for (dt)/(dx)=3xt^2 is x=sqrt(-2/(3t)+c_{1)},x=-sqrt(-2/(3t)+c_{1)}

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(dt)/(dx)=3xt^2

\frac{d t}{d x} = 3 x t^{2}

x = - \frac{2}{3 t} + c_{1}, x = - - \frac{2}{3 t} + c_{1}

Solution steps

\frac{d}{d x} (t) = 3 x t^{2}

Solve separable ODE:

x = - \frac{2}{3 t} + c_{1}, x = - - \frac{2}{3 t} + c_{1}

x = - \frac{2}{3 t} + c_{1}, x = - - \frac{2}{3 t} + c_{1}

\frac{d x}{d t} = - 0.6364 x

y^{^{'}} tan (x) = y ln (y)

\frac{d y}{d t} = \frac{[ 3 t ^{2} + 4 t + 2 ]}{[ 2 y - 2 ]}, y (0) = - 1

y^{^{'}} = \frac{8 ( 1 + x )}{x y}

(1 + e^{x}) \frac{d y}{d x} + (e^{x} y) = 0

What is the solution for (dt)/(dx)=3xt^2 ?
The solution for (dt)/(dx)=3xt^2 is x=sqrt(-2/(3t)+c_{1)},x=-sqrt(-2/(3t)+c_{1)}