Question

Can anyone help to solve the defferential equation.
x^2dy/dx=9y

Answer 1

u can solve it simply be seperating the variables and then integrating as follows
(dy/y)=(9/(x^2)) dx
on integrating we have
ln y -ln c =-9/x (c being integrating constant)
or ln(y/c) =-9/x
or y/c =e^(-9/x)
or y=c*e^(-9/x)