Question

Solve the differential equation: x*(du(x)/dx)=[x-u(x)]^2+u(x) Hint: Let y=x-u(x) Answer: u(x)=x-x/(x-K) with K=constant

Solve the differential equation:

x*(du(x)/dx)=[x-u(x)]^2+u(x)

Hint: Let y=x-u(x)

Answer: u(x)=x-x/(x-K) with K=constant

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