Question

Solve this differential equation `(partial Q)/(partial K) = alpha (Q/K)^n` ?

Answer 1

See below.

Explanation:

Assuming the questions reads

`(partial Q)/(partial K) = alpha (Q/K)^n` we have

`(dQ)/Q^n = alpha (dK)/K^n` and after integration

`Q^(1-n)/(1-n) = alpha K^(1-n)/(1-n) + C_0` or

`Q^(1-n)=alpha K^(1-n)+C_1`