Question

If y(t) is a solution of (1 + t)(dy/dt) – ty = 1 and y(0) = –1, then y(1) is 

(a) –1/2 

(b) e + 1/2 

(c) e – 1/2 

(d) 1/2 

Answer 1

Answer is (c) e - 1/2

Explanation:

The given differential equation is

which is a linear differential equation.

Thus, IF