The differential equation dydx P(x) Q(x)y R(x)y2 is known
Chapter 2, Problem 2.1.239(choose chapter or problem)
The differential equation dydx P(x) Q(x)y R(x)y2 is known as Riccatis equation. (a) A Riccati equation can be solved by a succession of two substitutions provided that we know a particular solution y1 of the equation. Show that the substitution y y1 u reduces Riccatis equation to a Bernoulli equation (4) with n 2. The Bernoulli equation can then be reduced to a linear equation by the substitution w u1 (b) Find a one-parameter family of solutions for the differential equation where y1 2x is a known solution of the equation.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer