(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Okay so the question is to show that these 2 functions are linearly dependent.

ie. they are not both solutions to the same 2nd order, linear, homogeneous differential equation for non zero choices of, say M, B and V

2. Relevant equations

f(x) = sin(Mx)

g(x) = Bx + V

3. The attempt at a solution

So they would be dependent if their Wronskian is equal to 0.

W = Bsin(Mx) - (Bx + V)Mcos(Mx)

I'm stuck at this point.. I can't seem to find any identities to make this = 0. I've tried expanding too.. I don't think it helps much. Any help is appreciated!

**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!

# Linear dependence and Wronskian

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