What is the solution for (dx}{dt}=\frac{4t)/x ?

The solution for (dx}{dt}=\frac{4t)/x is x=sqrt(4t^2+c_{1)},x=-sqrt(4t^2+c_{1)}

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(dx}{dt}=\frac{4t)/x

\frac{d x}{d t} = \frac{4 t}{x}

x = 4 t^{2} + c_{1}, x = - 4 t^{2} + c_{1}

Solution steps

\frac{d x}{d t} = \frac{4 t}{x}

Solve separable ODE:

x = 4 t^{2} + c_{1}, x = - 4 t^{2} + c_{1}

x = 4 t^{2} + c_{1}, x = - 4 t^{2} + c_{1}

What is the solution for (dx}{dt}=\frac{4t)/x ?
The solution for (dx}{dt}=\frac{4t)/x is x=sqrt(4t^2+c_{1)},x=-sqrt(4t^2+c_{1)}