Question

Solve the Bernoulli differential equation. The Bernoulli equation is a well-known nonlinear equation of the form

y' + P(x)y = Q(x)yn

that can be reduced to a linear form by a substitution. The general solution of a Bernoulli equation is

y1 − ne∫(1 − n)P(x) dx =

(1 − n)Q(x)e∫(1 − n)P(x) dx dx

+ C.

(Enter your solution in the form F(x, y) = C or y = F(x, C) where C is a needed constant.)

y8y' − 5y9 = ex

Answer 1