💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Oh no! Our educators are currently working hard solving this question.

In the meantime, our AI Tutor recommends this similar expert step-by-step video covering the same topics.

Like

Report

Numerade Educator

Like

Report

Problem 15 Easy Difficulty

Use a computer algebra system to draw a direction field for the given differential equation. Ger a printout and sketch on it the solution curve that passes through (0,1). Then use the CAS to draw the solution curve and compare it with your sketch.
$ y' = x^2 \sin y $

Answer

The answer is an image of a direction field. The image and the SageMath program used to produce it are shown in the video.

Discussion

You must be signed in to discuss.

Video Transcript

Okay, so we need to use the computer alma system. Uh, my favorite to use is going to be well from Alfa. So if you just gotta wolfram alpha dot coms is a free resource for a math problem. Help. And then you can just type in direction. Field, like crime is equal to x squared sine of like, right to that in that load. And then we get this direction, feel here, and then you can just save this image if you just right click on that same image. No. Okay, so we have the, um, their vector field here, and he wants us to sketch a solution, curve the passes of the 0.1 So 01 is the point here. Oops. Okay. Is the point here? All right, then we can see here. That should be a, um right. There's gonna be an equally room there, so our solution curve will look like this. Then we're done.

University of California - Davis
Top Calculus 2 / BC Educators
Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College