2. (D’+D² -9D-9)y=0,Use Characteristic Roots

Q: part b,c,d

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Q: If y = C1 + C2x +e2*(C3cosx + C4sinx), then the roots are

A:

Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

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Q: 2a + 3b + 4c =    a=( 2 )        3

A:

Q: Find *: (a) 4x°y³ + 2x³y-y-2x-4 0. %3D

A: Given  4x5y3 + 2x3y - y - 2x - 4 = 0 We have to find dydx.

Q: 2х-1 dx х* - 6х + 13

A: Here I am attaching image so that you understand each and every step.

Q: of x³ (4+x²)² dx ; Use rationalizing substitution

A:

Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: find the denivahon of the Runchon bydsing herules ofditkreohe lhon fee) = 7 %3D +260 .3 2.

A: We need to find the derivative of given function. fx=7x3-8x2-1x+250

Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

A:

Q: Calculates  ∫ln(x2+bx+c) note: 4c−b2<0.

A: Consider the given integral   Find the integration of first team,

Q: -2 Evaluate (5х — 2) dx -6

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Q: xx X1+iy,=X2+iy20 2 X =X y= OךX

A: In the given question we have to choose the correct option from the given options  Concept: two…

Q: 9x dx VI-9x -/1-9x2 +C -1 arcsin 3x + C + C 3(x3 – 3x)

A:

Q: (4x + 5) dx 3. (2 - 7х)2

A: Consider the given integration as ∫4x+52-7x2dx

Q: d (tan² (2x³)). dx (a) 202¹ tan (2x5) sec² (2x5) (b) 20x¹ tan (25) 16. Calculate (c) 2 tan (2x5) (d)…

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Q: (√3-3)/6 - (√3+3) /6 12 dx 2 1+ (2x + 1)²

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Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

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Q: y = x2/2x2 + 3 at x = 2

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Q: dx 4x2- 4x+5

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Q: 2.) (6x*y+z")² 10

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Q: (х + 3)2 dx. J V40 – 6x - x²

A: Evaluate ∫x+3240-6x-x2dx=?

Q: 6. Simplify. a) (2x - 3x2- 6) + (6x – x³ + 4x² + 5) b) (x² – 4)(2x² + 5x - 2) c) -7x(x² + x - 1) –…

A: Given that -

Q: Multiply: (5x'y*)(-6x"y*) b. (4x²y'z*)(2r°y°z*). a.

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Q: (D²-2D-3)y=64xe³x

A: We have to solve the given differential equation.

Q: (10) m²-6m+9 = 0 (Ans. 3)

A: Given two polynomial equation

Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

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Q: Find 2 / 9-4x² 2 9-4x² dx. dx =

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Q: 9x + 4y = 20 4 2 2 6 x 0 x

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Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: +9 J4 (12x² - 8x+10) dx

A:

Q: S (3×412メ -15)2 2dx

A: The integral is solved as follows :

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…