I know how to go about solving differential equations of the form y''+q(x)y'+t(x)y = 0 through the methods of finding the characteristic polynomial of the differential equation and solving for the roots, etc. But what I am not clear on is how I would go about solving an equation like this where one of the terms is a constant, such as y''+q(x)y' + C = 0 or y'' +t(x)y + C = 0. I'm thinking of a situation with an F=ma equation where there is a term that is dependent on the position or velocity of an object, but there is also something like a gravitational force, which is constant.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Solving a linear homogenous 2nd order DE with a constant term

**Physics Forums | Science Articles, Homework Help, Discussion**