Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For x
M, let y(x) be a solution of the differential equation
(x 2 - 5)
- 2xy = -2x(x 2 - 5) 2 such that y(2) = 7.
Then the maximum value of the function y(x) is
Text Solution
Verified by ExpertsThe correct answer is:
16
(16)




x=2, y=7

y = -(x 2 -5)(x 2 + 3)
put x 2 = t > 0
y = -(t-5)(t+3)

y max = 16 when x 2 =1
y max = 16
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
PHYSICS
SECTION-1 : (Maximum Marks : 12)
• This section contains FOUR (04) questions.
• Each questi…
Young's modulus of elasticity Y is expressed in terms of three derived quantities, namely, the grav…
A particle of mass m is moving in the xy-plane such that its velocity at a point (x, y) is given as…
An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the…
SECTION-2 : (Maximum Marks : 12)
• This section contains THREE (03) questions.
• Each question has …
An annular disk of mass M, inner radius a and outer radius b is placed on a horizontal surface with…