1 12 Solve the differential equation dy 3x y dx 1 dy 3 x y...

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Calculus

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1 12 Solve the differential equation dy 3x y dx 1 dy 3 x y dx 5 xyy x 1 7 e 1 y 2 cosx dp 9 11 13 dt t p p t 1 15 de dt dy dx t sec 0 Oe dA 2 xe y 0 0 8 4 xy y 3 6 y xe 0 dy dx 10 12 dy dx 13 20 Find the solution of the differential equation that satisfies the given initial condition 14 Ab cos br A 0 b dr 16 x y k sec y y 1 6 dz dt dH dR x y4 dP dt 2x y 1 et 0 RH 1 R In H Pt P 1 2 17 du dt 2t sec t 2u 18 x 3y x 1 20 19 x In x y 1 dy dx X sin X y u 0 5 dy dx 0 y y y 0 1 y 0 1 y 1 1 21 Find an equation of the curve that passes th 0 2 and whose slope at x y is x y 22 Find the function f such that f x x x f 0 2 23 Solve the differential equation y x y b change of variable u x y 24 Solve the differential equation xy y x change of variable v y x 25 a Solve the differential equation y 2x b Solve the initial value problem y 2x y 0 0 and graph the solution c Does the initial value problem y P y 0 2 have a solution Explain 2x

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