Obtain an expression for c in terms of q

Question

The unit cost of a production firm c and the number of units produced q are related by the equation: dc/dq + c/q = c^3

Answer 1

dc/dq + c/q = c³

c(d/dq + 1/q) = c³

d/dq + 1/q = c²

±√(d/dq + 1/q) = c