What is the solution for (dr}{dt}=\frac{r^2)/t ?

The solution for (dr}{dt}=\frac{r^2)/t is r=-1/(ln(t)+c_{1)}

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(dr}{dt}=\frac{r^2)/t

\frac{d r}{d t} = \frac{r ^{2}}{t}

r = - \frac{1}{ln ( t ) + c _{1}}

Solution steps

\frac{d r}{d t} = \frac{r ^{2}}{t}

Solve separable ODE:

r = - \frac{1}{ln ( t ) + c _{1}}

r = - \frac{1}{ln ( t ) + c _{1}}

(- 3 x + 2)^{2}

\frac{d}{d x} (5^{3 x} + 7)

(\frac{x + 7}{x - 7})^{5}

y^{^{'}} + (\frac{3}{300 - x}) y = 4

f (x) = ln (1 + x)

What is the solution for (dr}{dt}=\frac{r^2)/t ?
The solution for (dr}{dt}=\frac{r^2)/t is r=-1/(ln(t)+c_{1)}