(D2-3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 *C₁² + €₂²¹ +2³² 12 O b. ³² C₂₁ ²² +₁₂=²+ = 12e-² -5x 12 O C ¹²-₁₁e² - C₂²¹ + 1 2 ³ 5x 12 "C₂e-³-₂-20 d. e. none -5x + + 1/2-²

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A: the given integral is ∫0∞x-231+xdx Rewrite the integral as ∫0∞1x231+xdx first calculate ∫1x231+xdx…

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Q: Find C (x.y) if C(x,y) = 8x? + 12xy – 14y? + 4x- 11y – 112. Cx (x.y) = D

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Q: 19. Use u substitution to evaluate. x5 So (4+x6)³) dx

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Q: Evaluate (4x – 6x +1) dx, where A is a constant and A > -2. -2 O 443 – 6A + 20 O A4 – 3A2 + A - 2 O…

A: To evaluate ∫-2A4x3-6x+1dx

Q: Evaluate f- 8x+1 dx V4z-3 (4x – 3)½ +(4x – 3) +c O b. (4x – 3)/2 +(4x – 3)i + C (4x - 3)%2 +(4x – 3)…

A: Given integral,∫8x+14x-3dx

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Q: The S(e3x + 3x°) dx is { A }-e3* + 3xe + C e 3x 3xe+1 {C} 3e3* + + C { B }e* + e ln x 3xe+1 + C e+1…

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Q: 3. = Cos xsin +xax+a 5/2 3/2 1. Ans: Y= 4sin'x* sinx+ To CAx+4)^- Cax+a) 3.

A: To solve: dydx=cos3x sin2x+x2x+1 Solution Given differential equation can be written as: dy=cos3x…

Q: Compute e-1/z ₁-3+1° -dz, and $ e¹/2² |z-i|=3/2 2² +1 dz.

A: Concept Used If a complex function f(z) is analytic within and on a closed contour c inside a…

Q: 3. (0.002x4 -0.3x² + 4x - 7) dx

A: The given integral is    ∫-1010(0.002x4-0.3x2+4x-7)dx

Q: 2 V3-5 (1) √√√3 dx.

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Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

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Q: Q3. (3-2xy) dxdy is (1-9y)dy 9 55(1-y)dy a. c. 9 b. d. (9-y)dy (1-y)dy

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Q: x +1 「マ-x-6 dx. х2 — х —

A: The integral is ∫x+1x2-x-6dx.   Factorize the denominator. x2-x-6=x2-3x+2x-6=xx-3+2x-3=x-3x+2…

Q: ut. (b) 710 - 76 72 (c) m*n (e) m m2 ÷ m* (f) -25A

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Q: 9 13 4. give three s0lutions

A: The given inequality is q≥134

Q: 2 (3г — 1) V 32? — 2х +3 dx -

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Q: 4 Let A = -1 19 Then 6. -1 -30. det(A) =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: S (2 + x)dx √4-2x-x²

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Q: e 2x+e-2x The f e2X -e dx is 2x { A} - In ,2x+e-2x + C {C} -2 Inle2x — е -2x| + С ,2x– -2x {…

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Q: S (e3 In = + e3) dx = A. 3 + +C B. + 3e3z + C C. + 3e* +C С. 4 D. + +C 4 e3z E. 주 + + C 3

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Q: Find the derivative and simplify. -x² + 7x + 1 d. 2x° -x +7x+12 Choose the correct answer below What…

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Q: )Lim. 2. H-HCOSX-2Sin x

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Q: −3.1x+7−7.4x=1.5x+6(x−32)

A: To solve for x.