In a chemical mixture

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

In a chemical mixture, the amount

A(t)

of substance A (in moles) and the amount

B(t)

of substance B (in moles) satisfy

\dfrac{dA}{dt}=-0.4B

and

\dfrac{dB}{dt}=0.4A

. If

A(0)=10

and

B(0)=5

, determine

\dfrac{dA}{dt}

t=0

and state whether the amount of substance A is increasing or decreasing at that instant.