NDA2010MathematicsDifferential EquationsActual
The growth of a quantity N(t) at any instant t is given by d N(t) d t = N(t) . Given that N(t)=c e^ k j , c is a constant, what is the value of ?
Options
- Ac
- Bk
- Cc+k
- Dc-k
Correct answer
D. c-k
Step-by-step solution
aligned & d ~N (t) d t = N (t) & N (t)= t+c & ~N (t)=e^ t+c or c e^ k t =e^ t+c & or k t= t+c or t=k t-c, =k-c / t aligned