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First Order De

Easymathematics

The order of the differential equation d²y/dx² + 3(dy/dx) + 2y = 0 is

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About This Question

Subject
mathematics
Chapter
differential equations
Topic
first order de
Difficulty
Easy
Year
2025
Tags
Differential EquationsOrderDefinition

Solution

Correct Answer:

2

  1. Definition of Order: The order of a differential equation is the order of the highest derivative appearing in the equation.
  2. Identify Derivatives:
    • First derivative:
    • Second derivative:
  3. Determine Highest Order: The highest derivative present is , which is of order 2.
  • Note: The 'degree' would be 1 because the highest derivative is raised to the power of 1.

This easy difficulty mathematics question is from the chapter differential equations, covering the topic of first order de. It appeared in the 2025 exam.

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