Mathematical Tools for Physics - Department of Physics - University

(nextflipdebug2) #1
4—Differential Equations 92

2 These equations are separable, as in section4.7. Separate them and integrate, solving for the
dependent variable, with one arbitrary constant.


dN


dt


=−λN,


dx


dt


=a^2 +x^2 ,


dvx


dt


=−a


(

1 −e−βvx


)

3 From Eq. (4.40) and (4.41) what are the formulas for putting capacitors or inductors in series and
parallel?

Free download pdf