Find a general solution to each first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write all solutions explicitly if possible.

Question

dr/dè = r^(2)/è

Answer 1

using x,y,

dy/dx = y^2/x
dy/y^2 = dx/x

-1/y = lnx + c
y = -1/(c+lnx) or, 1/(c-lnx)