K Solve the initial value problem. 20 3x²-x-2 dx (x + 1)(y + 1) Y(1)=1 The solution is nis0 (Type an implicit solution. Type an equation using x and y as the variables.)

Q: 12

A: Green theorem:

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A: Solution for only question no. 1 is asked. We shall solve that question only.

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Q: Determine the conic section created with the equation 2x^(2)+4xy+5y^(2)+3x-4y-20=0.

A: Equation :2x2+4xy+5y2+3x-4y-20=0

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Q: 20. '= 3 2 -1 2 1 -1, - (t) = -2t e² e³1 -4e¹-e-2t 2e3³t -e¹ -e-2t @3,

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Q: d.) Jacobi Iteration Method- 4 iterations

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Q: 9. y'"y" 2x³.

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Q: 5. Prove that every bounded complex sequence has a convergent subsequence

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A: Since you have posted multiple questions, so we will solve only the first question for you. Kindly…

Q: 6) y=-sin (3x) - 1

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