Differential Equations: Direction Fields

[anik18]

(a) Sketch the solution curve that passes through (0,-2) in the direction field for (dy/dx)= 2x + y.

(b) Sketch the solution curve that passes through (-1,3) in the direction field for (dy/dx)= 2x + y.

(c) What can you say about the solution in part (b) as x approaches positive infinity? How about when x approaches negative infinity?


book: Fundamentals of Differential Equations 6th Edition by Nagle, Saff, and Snider
Chapter 1.3 and problem 2

 

[HallsofIvy]

Okay, what do you have for that?

 

[Chris Hillman]

Anik, did you see the "sticky thread"? Homework problems should go the PF forum called "Homework", and you are expected to show some work.