What is the solution for (dx)/(dt)= 3/x ?

The solution for (dx)/(dt)= 3/x is x=sqrt(6t+c_{1)},x=-sqrt(6t+c_{1)}

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(dx)/(dt)= 3/x

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

x = 6 t + c_{1}, x = - 6 t + c_{1}

Solution steps

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

Solve separable ODE:

x = 6 t + c_{1}, x = - 6 t + c_{1}

x = 6 t + c_{1}, x = - 6 t + c_{1}

x \to 0 - lim ((\frac{1}{2})^{\frac{1}{x}})

x \to - 3 lim (8 x^{2})

\int \frac{1}{9 x ^{3} - 2 x ^{2}} d x

y = x^{2} - 3 x + 3, (0, 3)

\frac{d}{d x} (\frac{x ^{2} - 1}{sin ( x )})

What is the solution for (dx)/(dt)= 3/x ?
The solution for (dx)/(dt)= 3/x is x=sqrt(6t+c_{1)},x=-sqrt(6t+c_{1)}