Question:medium

The real value of \( m \) for which the substitution \( y = u^m \) will transform the differential equation \( 2x^4 y \frac{dy}{dx} + y^4 = 4x^6 \) into a homogeneous equation is

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In substitution problems, match exponents to make all terms of the same degree.
Updated On: Apr 23, 2026
  • \( m = 0 \)
  • \( m = 1 \)
  • \( m = \frac{3}{2} \)
  • \( m = \frac{2}{3} \)
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The Correct Option is C

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