Question

While solving the ordinary differential equation using unilateral laplace transform, we consider the initial conditions of the system.

(a) True

(b) False

I have been asked this question in an interview.

My query is from Solution of DE With Constant Coefficients using the Laplace Transform topic in section Laplace Transform of Engineering Mathematics

Answer 1

Correct answer is (a) True

Explanation: When bilateral laplace transformation is used in solving differential equations, we don’t consider the initial conditions as the transformation is from -∞ to +∞. But when we consider unilateral laplace transformation, the integral is from 0 to ∞. So, the initial conditions are considered.