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Calculus and Beyond Homework Help
Finding the flow of a vector field
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[QUOTE="docnet, post: 6408663, member: 677503"] [ATTACH type="full" alt="Screen Shot 2020-10-24 at 3.39.23 PM.png"]271510[/ATTACH] Thank you Pasmith and vela, you are right, this method solves the problem! using the hyperbolic solution to second order odes, I found the solution x= x cosh t + y sinh t y= x sinh t + y cosh t here is a graph of the flow when x = -1 and y = -2 parametrized by t. [ATTACH type="full" alt="Screen Shot 2020-10-24 at 3.39.05 PM.png"]271511[/ATTACH] [ATTACH type="full" alt="Screen Shot 2020-10-24 at 3.39.09 PM.png"]271512[/ATTACH] vela, you are right, there are e^-t terms that I missed as well. I was tired after trying for many hours to solve this problem. [/QUOTE]
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Finding the flow of a vector field
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