Solving a Differential Equation with Boundary Conditions

[kumudumalee]

What is the answer of this differential equation.

((d^2) r)/((ds)^2) +(m/(r^2)) -(nr/3)=0

the boundary conditions (i) r=a when s=0 and (ii) dr/ds =0 when r=b.

m and n are constants.

 

[tiny-tim]

hi kumudumalee! welcome to pf!

(try using the X² button just above the Reply box )

multiply the whole equation by dr/ds, and then integrate ​

 

[kumudumalee]

Thanks...