Are you taking CLEP classes? Try clep.ai
| preferred AP College board partner for AP classes
AP Calculus BC/Unit 7: Differential Equations
Start Practice TestPractice Test
About Exam
medium

Differential Equation Solution Curve Behavior

Mark
< Prev
Next >

Which of the following is true about the behavior of solution curves for the differential equation dydx=x2\frac{dy}{dx} = x^2 when initial conditions differ slightly?

A

They never intersect, and their separation increases as ∣x∣|x| increases.

B

They intersect if one has a negative and the other has a positive initial condition.

C

They converge to the same value as xx tends to infinity.

D

They always intersect at the origin regardless of the initial conditions.

Hint
Did You Know?
Explain Why
Explain All Answers
Check Answer
Show Correct Answer
Report Question

Question Leaderboard

Not enough data yet to show leaderboard.

AI Tutor

How can I help?

APFIVE © 2020.
Email: apfive@apfive.org|Privacy Policy|