Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The real value of m for which the substitution y = u m will transform the differential equation 2x 4 y 
+ y 4 = 4x 6 in to a homogeneous equation is
Text Solution
Verified by ExpertsThe correct answer is:
C
y = u m
dy/dx = mu m–1 
The given differential equation becomes
2x 4 .u m . mu m–1 
+ u 4m = 4x 6 ⇒ 
= 
For homogeneous equation degree should be same in numerator & denominator so,
6 = 4m = 4 + 2m – 1 ⇒ m = 3/2
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