# GATE Questions & Answers of Initial and Boundary Value Problems

## What is the Weightage of Initial and Boundary Value Problems in GATE Exam?

Total 1 Questions have been asked from Initial and Boundary Value Problems topic of Differential equations subject in previous GATE papers. Average marks 2.00.

Consider the differential equation

$\frac{{d}^{2}y\left(t\right)}{d{t}^{2}}+2\frac{dy\left(t\right)}{dt}+y\left(t\right)=\delta \left(t\right)$ with ${\overline{)y\left(t\right)}}_{t={0}^{-}}=-2$ and ${\overline{)\frac{dy}{dt}}}_{t={0}^{-}}=0$

The numerical value of ${\overline{)\frac{dy}{dt}}}_{t={0}^{+}}$ is