# GATE Questions & Answers of Single and Multi-Step Methods for Differential Equations

## What is the Weightage of Single and Multi-Step Methods for Differential Equations in GATE Exam?

Total 1 Questions have been asked from Single and Multi-Step Methods for Differential Equations topic of Numerical Methods subject in previous GATE papers. Average marks 2.00.

The differential equation $\frac{dx}{dt}=\frac{1-x}{\tau }$ is discretised using Euler’s numerical integration method with a time step $\Delta T>0$. What is the maximum permissible value of $\Delta T$ to ensure stability of the solution of the corresponding discrete time equation?