How do i solve the following equation?(adsbygoogle = window.adsbygoogle || []).push({});

u= L*(d^2i/dt)+ (1/c)*i r* (di/dt)

L= 1,4 mF

C= 0,31 H

R= 1000 ohm

Well i have so far found the auxiliary equation:

0,31*r^2 + 1000*r + 1/(1,4*10^-6)=0

And the discriminant is found to be 114286. This makes the form of the solution:

Y=c1*e^r1x + c2*e^r2x

I have found the roots:

r1=-1067,64

r2= -2158,18

But im stuck now and do not know what to do now.

**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!

# Homework Help: Second order differential equation

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