What is the general solution of the differential equation (1 +x) y' = 7x

Answer 1

(1 + x) y' = 7x

y' = 7x/(1 + x)

y' = 7 - 7/(x + 1)

dy/dx = 7 - 7/(x + 1)

dy = [7 - 7/(x + 1)] dx

∫dy = ∫[7 - 7/(x + 1)] dx

y = 7x - 7ln(x + 1) + C