The solution of the non-exact differential equation (x*e +5dy + (1 +2x²e")dx = 0 is: O x^2 e*y+Inlyx-C O x^2 e*y-In(yx)%3DC O None of the above x^2 e*y+In(y)%3C

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A: I am attaching image so that you understand each and every step.

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A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...

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A: We can evaluate the given integral by using the tabular integration by parts method.

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A: We will find the vectors satisfying the above conditions. 

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A: Given query is to find the derivative.

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A: Let's find. 

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

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A: The objective is to solve the above question. 

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