Answer to Question #147906 in Differential Equations for Sana

Question

Show whether the differential equation given below is linear or nonlinear.
Also determine its order:
dR/dt=-k/R^n
Where n=1

Answer 1

Given $\frac{dr}{dt} = \frac{-k}{R^n}$ , where n = 1, therefore we have that $\frac{}{}$

$\frac{dR}{dt} = -kR^{-1}$

Since the power of the dependent variable is -1, then the differential equation is non-linear

Also the order of the differential equation is 1 since the highest derivative is 1