Creeping Flow Past a Sphere

Now let

Equation (2) then becomes

Equation (4) is an Euler differential equation, which accepts a power law solution. That is

Substituting (6) into (5), it follows that 

Roots of the characteristic equation given by (7) are

Thus, the general solution is given as

Using (4), the boundary conditions given by Equation (3) becomes

Comparing the expression given by (9) as

Using boundary conditions given by (10), it follows that