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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 $


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


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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.

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