Okay so i have 2 ODE's i need to decouple them and therefore construct two differential equations each containing just one of the functions.... I just wanted to know how can you verify you have the correct solution is more so my question(adsbygoogle = window.adsbygoogle || []).push({});

du/dt= 4u-5v

dv/dt=2u-3v

I end up getting

for u(t) = Ae^x + Be^-3x

and for v(t) = Ae^5x +Be^x

My question is also when assigning the solutions to the characteristic equation do you give the higher number to a and the lower to b??

THanks :)

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

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!

# Decoupling Linear ODE's

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