# GATE Questions & Answers of Higher order linear differential equations with constant coefficients

## What is the Weightage of Higher order linear differential equations with constant coefficients in GATE Exam?

Total 4 Questions have been asked from Higher order linear differential equations with constant coefficients topic of Differential equations subject in previous GATE papers. Average marks 1.25.

The order and degree of the differential equation

$\frac{{d}^{3}y}{d{x}^{3}}+4\sqrt{{\left(\frac{dy}{dx}\right)}^{3}+{y}^{2}}=0$ are respectively

The solution to the ordinary differential equation

$\frac{{d}^{2}y}{d{x}^{2}}+\frac{dy}{dx}-6y=0$ is

The general solution of $\frac{{d}^{2}y}{d{x}^{2}}+y=0$ is
The degree of the differential equation $\frac{{\mathit{d}}^{2}x}{\mathit{d}{t}^{2}}+2{x}^{3}=0$ is