)
or
1
40
dy
y
dt +
 = 5 (1)
Rationalised 2023-24
206
MATHEMATICS
This gives a mathematical model for the given problem Step 3 Equation (1) is a linear equation and can be easily solved The solution of (1) is
given by
40
40
200
C
t
t
ye
e
=
+
 or y (t) = 200 + C 
40
t
e
−