Mathematics I (Calculus) - Old Questions

    (b) Define initial value problem. Solve that initial value problem of y' + 2y = 3, y(0) = 1.

The problem of finding a function y of x when we know its derivative and its value y₀ at a particular point x₀ is called an initial value problem.

Given,

Comparing given equation with  we have

P =2 and Q=3

Now,

Applying the initial condition y(0)=1

Applying this value, we have: