Allied & ICAR Exam Bank • ALLIED_2703 MSQ • 2 Marks

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Linear and non-linear first order Ordinary Differential Equations (ODE)

Question Statement:

Which of the following first-order differential equations are LINEAR in $y$?

Options:

  • (A) $\frac{dy}{dx} + 5y = \sin x$
  • (B) $x \frac{dy}{dx} + 2y = e^x$
  • (C) $\frac{dy}{dx} + y^2 = x$
  • (D) $\frac{dy}{dx} + x y = x^3$

Answer Key:

A, B, D

Step-by-Step Solution & Explanation

(A), (B), (D) have the standard form $y' + P(x)y = Q(x)$. (C) contains non-linear term $y^2$.
← Previous (ALLIED_2702) Next (ALLIED_2704) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test