# GATE Questions & Answers of Multi-step methods for differential equations

## What is the Weightage of Multi-step methods for differential equations in GATE Exam?

Total 1 Questions have been asked from Multi-step methods for differential equations topic of Numerical Methods subject in previous GATE papers. Average marks 2.00.

The error in ${\overline{)\frac{d}{dx}f\left(x\right)}}_{x={x}_{0}}$ for a continuous function estimated with h = 0.03 using the central difference formula ${\overline{)\frac{d}{dx}f\left(x\right)}}_{x={x}_{0}}\approx \frac{f\left({x}_{0}+h\right)-f\left({x}_{0}-h\right)}{2h}$, is 2×10−3. The values of x0 and f(x0) are 19.78 and 500.01, respectively. The corresponding error in the central difference estimate for h = 0.02 is approximately