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Question 370004
JEE Mathematics · Medium

Differential Equations: Homogeneous DE MCQ

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Homogeneous DEMediumQuestion 370004

Question

The substitution y = vx is used to solve:
  1. A
    Homogeneous differential equations where f(x,y) = f(λx,λy)
    Correct
  2. B
    Linear DEs
  3. C
    Bernoulli DEs
  4. D
    Exact DEs

Correct answer

Homogeneous differential equations where f(x,y) = f(λx,λy)

Explanation

A DE is homogeneous if dy/dx = f(y/x). Substituting y = vx → v + x(dv/dx) = f(v), which is separable in v and x.

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