Hi, I was just wondering if :(adsbygoogle = window.adsbygoogle || []).push({});

(y^2 - 1)*dx/dy + x = 0

In this case,x is the dependent variable.

Is linear? I know it is but I want to understand why. My question is with the coefficients.

The first coefficient has a y to the power of 2 to it and a constant. It is also a function of y (independent var in this case) for obvious reasons. I'm wondering if the power in the coefficient matters ? For example , instead of getting (y^2 - 1) as a coeff. , would simply y^5 as the coefficient still make the eq. linear? Also , for an equation to be non-linear , must the coefficients involve the dependent var. instead of the independent one?

Thank you very much!

**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!

# Question on linearity of a D.E.

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