Solve the following differential equations of 1- yy' = 2y – x; r'y'y'+ xy' = 1 dy x + v

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A: Given,        -8    0    5 A= 13    21  1         4    -2   15 a ij represents the entries for A,…

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A: We have to answer following Questions.

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A: Solution: ∯∂∂x6xy -∂∂y3xydxdy   (By green's theorem)

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Q: In(1+x) -x cosx -1 1. lim x-+0 7- In(2x + 3) 3. lim x-00 In(5x -2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

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A: Topic = Differential equation

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Q: +2x-15 Inkx + 51 -inlx- 31 +c In]x+51-Inx- 31+C Option 1 Option 2 |(x + 5)°| +C (*+5) +C *-3 Option…

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A: see below the answer and calculation

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A: Here, the region is bounded by the curves: x=4, y2=x

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A: For the following problem,