# GATE Questions & Answers of Cauchy’s and Euler’s Equations

## What is the Weightage of Cauchy’s and Euler’s Equations in GATE Exam?

Total 2 Questions have been asked from Cauchy’s and Euler’s Equations topic of Differential equations subject in previous GATE papers. Average marks 1.50.

Consider the differential equation ${x}^{2}\frac{{d}^{2}y}{d{x}^{2}}+x\frac{dy}{dx}-y=0$ Which of the following is a solution to this differential equation for x > 0?

The value of $\oint\limits_C\frac{dz}{\left(1+z^2\right)}$ where C is the contour |z - i/2| = 1 is