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Which method is appropriate for solving the first‑order differential equation ?

easy MCQ 1 mark Class 12 · Mathematics · Differential Equations
  1. Separation of variables
  2. Linear first‑order integrating factor method
  3. Homogeneous method
  4. Exact equation method
Answer
Linear first‑order integrating factor method

The correct answer is Linear first‑order integrating factor method — Therefore the suitable method is the linear first‑order integrating factor technique.

Step-by-step solution

  1. Identify the form of the equation as where and .
  2. Recognise that such equations are solved by the integrating factor method, not by separation, homogeneity or exactness.
  3. Therefore the suitable method is the linear first‑order integrating factor technique.
Common mistake: Choosing separation of variables instead of integrating factor

Concept tested: Identify linear first‑order ODE

Published · How this solution was prepared and checked

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