Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Let $y=y_1(t)$ be a solution of $y'+p(t)y=0$ and let $ y=y_2(t)$ be a solution of $y'+p(t)y=g(t)$. How can we show that $ y=y_1(t)+y_2(t)$ is also a solution of $y'+p(t)y=g(t)$?

I'm not really sure how to approach the problem. It's in the section dealing with differences between linear and nonlinear equations.

share|cite|improve this question






share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.