Solve the equation (D² - 3D + 2) y = 2x² + 1 Oy=c₁e² Oy=c₁e* + c₂e² + 3 + 4x + 5x² + c₂e²x + 4 + 3x + x²

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: Given: The given differential expression is a non-homogenous linear differential expression. The…

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A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

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A: We have to solve  8(y - 4) = 5(y + 4)  8y - 32 = 5y + 20

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Q: 2x +4y-2= X -y +2 =-6 3x +2y-Z= 5

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

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A: The objective of this question is to determine whether the point (7,0) is a solution to the equation…

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A: Given: 2x+1,y=5x+4,-7

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

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A: Given:

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A: Topic = Conic section

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A: Shaded area below is the graphical solution.

Q: Solve for the particular solution: (D2 - 5D + 6y) = 6x²-4x+9. O yp= -(1/6)x^2-x-2/3 O yp = x^2+x+2 O…

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Q: ve : (2a²t – 2æ³) dt + (4æ³ – 6x²t + 2æt?) dæ = 0 | x - c 2x* + c 4 Option 1 Option 2 4x* + c a* +c…

A: Solving the differential equation by grouping of terms.

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Q: Give the coordinates of the point of intersection of3x + 2y = 5 and 5x - 3y = 21.

A: Given: 3x+2y=5 5x-3y=21 To find the point of intersection.