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A Homogeneous Differential Equation of the Form D X D Y = H ( X Y ) Can Be Solved by Making the Substitution

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Question

A homogeneous differential equation of the form \[\frac{dx}{dy} = h\left( \frac{x}{y} \right)\] can be solved by making the substitution

Options

  • y = vx

  • v = yx

  • x = vy

  • x = v

MCQ
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Solution

x = vy

 

A homogeneous differential equation of the form \[\frac{dx}{dy} = h\left( \frac{x}{y} \right)\]  can be solved by substituting x = vy.

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Chapter 21: Differential Equations - MCQ [Page 143]

APPEARS IN

R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 21 Differential Equations
MCQ | Q 48 | Page 143

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