The rate of change of a quantity is directly proportional to a second quantity

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

The rate of change of a quantity p(t)p(t) is directly proportional to a second quantity q(t)q(t), and the rate of change of q(t)q(t) is directly proportional to p(t)p(t). Using positive proportionality constants k1k_1 and k2k_2, write the system of differential equations that models this situation.

Related theory

Browse the problem library