If f(x) = 12sin(green wave), then the red wave isni %3D 20 |-31/2 |-T1/2 T/2 3h/2 2n 5T -10

Q: D Exponential Shifting Theorem 4 (D° + 4D°-3D - 18)4=24x°e-3× t 4D²-3D - 18)y = 24 x°e¯*

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Q: -16 1Δίνεται η συνάρτηση f)- 2x+8x i) Ποιο είναι το πεδίο ορισμού της f i) Να απλοποιήσετε τον τύπο…

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Q: 3 max z = -X1 + 3x2 s.t. X1 - x2 4 X1, X2 2 ()

A: LINEAR programming problem graphical method

Q: Find the general solution of each ff Higher-order DE using Reduction of Order  1. (2D2 + 3D -2)y=0

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Q: Find the general real solution of d3y/dx3 -dy/dx = x2 + 4 +e4x

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Q: D. EXPONENTIAL SHIFTING THEOREM 1. (D³ + 4D² – 3D – 18)y = 24x³e-3x 2. (D² + 4D + 4)y 2a-x = 64x²e¬x

A: Note:- According to company policy we can attempt only one question so please upload the next…

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

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Q: 9. y = x – 5x+52) 21n10. y = 2r2 11. f(x) = 12. f(x) %3D x² +x- 6 15x2 +31x + 1 13

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a) 2xy dx+(1+x²)dy=0 b) y'+(4/x)y=x* ------by exact method ---by linear method

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Q: Find a general solution of y"- 2iy'+3y= 0.

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Q: y'' - 6y' + 9y = x^-2(e^3x) using Methods of Variation of Parameters

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Q: The general solution of (D³+4D)y=0 is Ay=e*(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁еx+c₂e²x +…

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Q: X1, X2 2 0 12. Minimise Z = 60x1 + 80x2 bo Subject to 20x +30x2 2 900 40x1 +30x2 2 1,200 X1, X220 LO…

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Q: 16 dx (x-1)°(x+1)

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Q: (3x"-1)(3) %3D 3 Y +1 e 3x"-1 s 3x"+xY =4 %3D -) m =4 30 that 3x +1 %3D 3x4+1

A: See the attachment

Q: 5. f(x) = 2x - 6 x2 - 7x + 12 Holes: Vert. Asy: Hor. Asy:

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Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

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Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

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Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: 1. y" - 2y' - 3y= e2x by D- operator method

A: Solve for cf and PI

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

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Q: y''-4y'+4y=0      y1=e2x   using reduction of order

A: y" - 4y' + 4y = 01 — (i)Given y1 = e2xLet y = y1v = e2xv       y' = 2e2xv + e2xv'      y" = 4e2xv +…

Q: x" + 2x' + 8x = 2e-2t - e-t,x(0) = 1, x'(0) = 0

A: Given differential equation, x''+2x'+8x=2e-2t-e-t,x(0)=1,x'(0)=0 The objective is to solve the…

Q: Q2\A: By using partial method solve 2x² cos x dx

A: Given :∫2x3cosxdx

Q: In the function given. Evaluate the integrals.

A: Given:∫03 fx dx=2,∫36 fx dx=-5∫36 gx dx=1∫36 3 fx -gx dx=?

Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

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Q: Q5/ Use Newt on-Raphson Method to find the approximate solution of the nonlinear equation f(x) given…

A: We are given that x3-x-1=0 . We have to find the approximate solution of the given nonlinear…

Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

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Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

Q: Find the general solution of 2y"+3y+y=3sin.x+xe"

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Q: 1l y" + 4y' + 4y = e-2x %3D x2

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Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢…

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Q: Complete solution of this by the method of variation of parameters. 3y''-6y'+6y=e^xsecx

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Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

Q: f(x₁, x₂) = (x₁ - x₂)² + (x₁ −4)² + 2x₂-2 Find the optimal solution using Hessian.

A: note : As the "Student ID" is not provided, we will solve the first question (a) only.   As per the…

Q: 14 (3 3 1f y=/xL5x²–36 x15x²-36 X23x²+¥x-12 show that dy dx4 24

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Q: 6) Find most general antiderivative of the fxn. a) f(6) = x5+2x²-1 X' B) 4(1) - 2 +30*

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Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: 4 %3D X2+2x-15 is X-3 S+X

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Q: 2 c2x-4 ( dydx 2у - 1) Q2. Evaluate the double integral x + 1

A: In this question we have to find the double integration.

Q: 3x+2y=D-14 x-Dy-3

A: the given system3x+2y=-14x=y-3we have to solve the system by the substitution method.

Q: 1. y" + 4y' + 4y = e-2x %3D x2

A: We find the complementary solution Yc and Particular integral Yp The complete solution is sum of Yc…

Q: -2x X-e -2x x+e * 2(x-e-2*) A -2x xp- x²+e¯ -2(x-e-2*) B x²+e =² -2x -2x e dx -2x x²+e-2r x²+e=2« D…

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Q: Q2/ By using partial method solve fx² In x dx

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Q: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

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Q: y = (2x + 1)v2x+1

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Q: Find the derivatives of the given functions. (Part D and E)

A: d)  We will need the quotient rule. For that assume u and v and find u' and v'