# 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 2 Questions have been asked from First Order Equations (linear and nonlinear) topic of Differential equations subject in previous GATE papers. Average marks 1.00.

With initial condition x(1) = 0.5 , the solution of the differential equation,

$t\frac{dx}{dt}+x=t$ is

With K as a constant, the possible solution for the first order differential equation $\frac{\mathit{d}y}{\mathit{d}x}={e}^{-3x}$ is