Mathematics I (Calculus) - Old Questions

    (b) Define initial value problem. Solve that initial value problem of y' + 5y = 1, y(0) = 2.

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 = 5 and Q = 1

Now

Applying the initial condition y(0)=2

Applying this value, we have: