Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let us consider a curve, y = f(x) passing through the point (−2, 2) and the slope of the tangent to the curve at any point (x, f(x)) is given by f(x) + xf ’ (x) = x 2 .Then :
Text Solution
Verified by ExpertsThe correct answer is:
C
(given)
If 
Solution of DE
⇒ y ⋅ x = ∫ x ⋅ xdx
Passes through (−2, 2), so
−12 = −8 + c ⇒ c = −4
∴ 3xy = x 3 – 4
ie. 3x ⋅ f(x) = x 3 − 4
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
The population at time of a certain species follows the differential equation . If , then the t…
Let be a twice differentiable function defined on such that , and for all . If , for all th…
If a curve passes through the point and satisfics , then for what
value of ?
If a curve passes through the origin and the slope of the tangent to it at any point is , then th…
If the curve represented by the solution of the differential equation ,passes through the interse…
The rate of growth of bacteria in a culture is proportional to the number of bacteria present and t…