Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let y = y(x) be the solution of the differential equation (x − x 3 ) dy = (y + yx 2 − 3x 4 ) dx, x > 2. If y(3) = 3, then y(4) is equal to:
Text Solution
Verified by ExpertsThe correct answer is:
B
(x − x 3 ) dy = (y + yx 2 − 3x 4 ) dx
⇒ xdy − ydx = (yx 2 − 3x 4 ) dx + x 3 dy
Integrate 
given 
⇒ c = 19
∴ 
= xy − x 3 + 19
At 
15y = 4 × 45
⇒ y = 12
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…