Allied & ICAR Exam Bank • ALLIED_0084 NAT • 2 Marks

Section 1: Engineering Mathematics

Differential Equations

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

Question Statement:

If $\frac{dy}{dx} + y = 0$ with $y(0) = 1$, the value of $\int_0^\infty y(x) dx$ is:

Answer Key:

1

Step-by-Step Solution & Explanation

$y(x) = e^{-x}$. $\int_0^\infty e^{-x} dx = [-e^{-x}]_0^\infty = 0 - (-1) = 1$.
← Previous (ALLIED_0083) Next (ALLIED_0085) →

Practice In Authentic CBT Exam Interface

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

Launch CBT Mock Test