PROBLEM [ B6 (a) ] : Obtain the differential equation whose general solution is y = a sin 7x – b cos 7x, where a and b are Y - arbitrary constants. PROBLEM [ B6 (b) ] : Solve the first order dy differential equation 21 x²e=y, by using dx Variable Separable Method.

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A: We need to determine absolute convergence.

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A: Find your answer below

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A: Explanation of the answer is as follows

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A: Note:- As per your demand we solve question 3,4,6 for you   Given problems:- 3.  y=tan(3x) cot(3x)…

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

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A: We will find the derivative using Chain rule.

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A: Integrating by parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx dxndx=nxn-1 ∫cos(ax)dx =1asin(ax)+C ∫sin(ax)dx…

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Q: 5. у 6. уд 4+ y - 8x /y =x y- + 2| x= 3 4 3- = x i 2 3 2. 2. 4. 3. 2.

A: Note:- As per your demand we solve question 5 and 6 for you  Given problems:- use the method of…

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A: Topic = Algebra

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Q: dy 1+y+1

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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