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Find the particular solution for
when θ = 0, r = a.
Solution:
Consider the given equation above
By separation of variables, transfer r³ to the left side of the equation as follows
Integrate on both sides of the equation, we have
Substitute the values of r and θ in order to solve for C as follows
Therefore, the particular solution is
Take the inverse natural logarithm on both sides of the equation, we have