# GATE Questions & Answers of First order equations (linear and nonlinear)

## What is the Weightage of First order equations (linear and nonlinear) in GATE Exam?

Total 5 Questions have been asked from First order equations (linear and nonlinear) topic of Differential equations subject in previous GATE papers. Average marks 1.60.

The integrating factor for the differential equation $\frac{dp}{dt}+{k}_{2}P={k}_{1}{L}_{o}{e}^{-{k}_{1}t}$ is

The solution of the ordinary differential equation $\frac{dy}{dx}+2y=0$ for the boundary condition, y = 5 at x = 1 is

Solution of the differential equation $3y\frac{\mathit{d}\mathit{y}}{\mathit{d}\mathit{x}}+2x=0$represents a family of

Solution of $\frac{dy}{dx}=-\frac{x}{y}$ at x = 1 and y = $\sqrt{3}$ is
The solution for the differential equation $\frac{\mathit{d}y}{\mathit{d}x}={x}^{2}y$ with the condition that y = 1 at x = 0 is