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Question#5 a) Solve the following initial-value problem: (2xcos y + 3x’y)dx +(x? – x’sin y- y)dy =0, where y(0) = 2. [5 marks

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Answer #1

(0 (2x317) + 8x*y) dx + (x² rising gdy - 0 Sol Compaining with rear + Ndeg o ni bu ay Oy)3my ON JN hence of the differentialDate Oras (39 4042 - Ž = 0(4) را ، * 2 * lot 4 ux ) ره ماه سه لا زه Subsctitating in een V+xdu 2048 42 را م اہر - والا - راه شہر - xde z Lut v. 2- رو(6) du Let It Substituting in eqn . dx Integrating factor, 22 +2

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