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Solve the given first-order differential equations in question 1 and 2: QUESTION 1 siny - 2xy + x2 dx + (xcosy - x2)dy = 0

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Solve the given first-order differential equations in question 1 and 2: QUESTION 1 siny - 2xy + x2 dx + (xcosy - x2)dy = 0 First show that the equation is exact (6) QUESTION 2 dy of = ax given that y(e) = 0 X (8)QUESTION 3 Given the first order differential equation dy _ 2y2 + +2 , find the general solution for y by dt 2yt 1.1 using the substitution y = t . (8) 1.2 rewriting the equation as a Bernouli equation and solving as a Bernoulli equation. (8)

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