Use computer software to obtain a direction field for the given differential equation. Sketch an approximate solution curve passing through each of the given points. y'=y-cosx (a) y(2) = 2

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Q: A² = x²y 2 + 2y = y + 3 z ³² x ² 2 5 근 SD • A dv = ? (Do > y 2 - 2 d 1 divergence)

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Q: Eraluate: 1. JJR e-(n^²+yv) the eincles of padii 1& 2 dady, R is the region of between.

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Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: Prove that there are 1000 consecutive positive integers that are not perfect squares.

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