INVERSE D-OPERATOR 1. (D² + 3D + 2)y = 24cos3x 2. (D³ + 4D² + 5D)y = 20e¬5x 3. (Dª + 5D³ + 6D² – 4D – 8)y = 60e¬5x

Q: 3 2x dx 2? - 4х + 5 C. 2)

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Q: Find the solution. (x³+3y) dx – xdy = 0 y = 2r$+ cx³ B 2y = x + cx³ © x = 2y5+ cx³ Dy = 2r5+ cy3

A: Correct ans is option - B

Q: .5 dx Vx4 – 2x2 + 1 b. 3

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given:           ∫252x2-3xdx

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: (D² + 3D) y = 0

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Q: -3 -2 -1 0. 1. 2 3. graph for y 4-3(x + 2). y 12 10

A: In this we have to solve for y and make a graph of straight line. So I'm providing hand written…

Q: a = (12,2) + -(4,5) = (12,2) + (-4,-5) = a%3D %3D %3D

A: Using addition of two points.

Q: %3D 3.) [2x +3y =-6 12x-16=-8y 2x+3y m b%3= 12x-16 =-8y m%3D b%3D

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Q: √(x² + (y—a)²) = b (y + a) 2

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Q: (D³ -3D* +4D³ -8D² +16),y = 0

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Q: Give the general solution of (D5 – 3D4 + 8D² – D - 5)y = 0,

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Q: 9x-y+z=3 10x-y+z=8 Find (x,y,z)

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Q: 20+y dy 20-y -20

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Q: c. (D2 - 25)2 (D2-4D+ 13}3 y = 0 %3D

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 4x+12 dx -36 (#4) |

A: Taking 4 common outside from the numerators term, The denominator can be written as

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: elon ding Gau Seveder = 24 Solve ke linear System Seidel od + 4X2- X3=30 %3D X2 + 4x3 = -24 where X,

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Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: 2x+3 (2x² + 6x - 1)5 S 1)5 dx

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Q: J (11x + 17) dx 2x² + 7x - 4

A: We have to find Integration of given Integral.

Q: How do I differentiate this?

A: am*n=(am)n

Q: Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec²x

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Q: Solve (D3 - 2D?)y = 0 a. y = C1+ C2 + Cze?x O b. y = Ce2x + C2 +C3X O c.y = C1+ C2X + C3e-2x O d. y…

A: Solution:-

Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

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Q: Paragraph 12) S, dx Sx+7

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Q: Sohe the folloefing Systems FxP dt = 2xg-5x2-cost %3D d×2ニx-2x2++uRn+ by usina the mettpd of…

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Q: y = 2x + 1 and y = -2x + 3 %3D I Use substitution to find the point of intersection.

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Q: What is the product of −2y2-2y2 and (y−3)

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Q: 2 x²+yi -I -VI-2²

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Q: Solve for ‘x’ and ‘y’:(a – b) x + (a + b) y = a2 – b2 – 2ab(a + b) (x + y) = a2 + b2

A: Given,

Q: y2+9y+8 / y3+6y2-16y

A: Simplify the given fraction of polynomials as follows.