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1322

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Mathematics

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Nov 24, 2024

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2. (a) Sketch a direction field for the differential equation y' = x/y. Then use it to sketch the four solutions that satisfy the initial conditions y(0) = 1, y(0) = —1, y(2) = 1, and y(—2) = 1. (b) Check your work in part (a) by solving the differential equation explicitly. What type of curve is each solution curve?

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