Question

The number of solutions of dy/dx = (y + 1)/(x - 1) when y(1) = 2 is:

A. none
B. one
C. two
D. infinite

Answer 1

⇒ log(y + 1) = log(x – 1) -log c

⇒ log(y + 1) + log c = log(x – 1)

Using log a + log b = log ab

Now it is given that y(1) = 2 which means when x = 1, y = 2

Substitute x = 1 and y = 2 in (a)

So only one solution exists.