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##### Given the following differential equationcos(xy2) +xy? sin(xy?) ) dx 2yx2 'sin(xy?) + X ) dy = 0,and the initial condition y(I) = 1 :1 . Find the integrating factor which makes the above equation exact_ 2 Use the exact equation method to find the differential equation's solution in implicit form: 3_ Solve the initial value problem defined in this problem:

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##### [Reviet Topice] [Relerencte] Use the References access important ralues if needed for this question.Consider the reaction2H,O() 2S0_(g) #2H_S(g) 302(g)for which AH? 1.124*10 kJ and AS? 390.7 J Kat 298.15 K(4) Calculate the entropy change of the UNIVERSE when 2.197 moles of H,Ol) react under standard conditions at 298.15 K A Suniverse JK(2) Is this reaction reactant Or product favored under standard conditions?(3) If the reaction product farored, 15 It enthalpy farored, entropy favored, or favor

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