Allied & ICAR Exam Bank • ALLIED_0071 MCQ • 1 Mark

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Homogeneous differential equations

Question Statement:

The differential equation $x^2 \frac{d^2 y}{dx^2} + 3x \frac{dy}{dx} + y = 0$ is known as a:

Options:

  • (A) Cauchy-Euler equidimensional equation
  • (B) Bessel equation
  • (C) Legendre equation
  • (D) Bernoulli equation

Answer Key:

A

Step-by-Step Solution & Explanation

Equations of the form $x^n y^{(n)} + \dots$ are Cauchy-Euler (equidimensional) equations.
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