# 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 2 Questions have been asked from Higher Order Linear Differential Equations with Constant Coefficients topic of Differential equations subject in previous GATE papers. Average marks 1.50.

The solution for the differential equation

$\frac{{d}^{2}x}{d{t}^{2}}=-9x,$

with initial conditions $x\left(0\right)=1$ and ${\overline{)\frac{dx}{dt}}}_{t=0}=1$ is

For the differential equation $\frac{{d}^{2}x}{d{t}^{2}}+6\frac{dx}{dt}+8x=0$ with initial conditions x(0) = 1 and ${\overline{)\frac{dx}{dt}}}_{t=0}=0$ the solution is