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

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: 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 d2y/dx2 implicitly in terms of x and y.

A: Implicit differentiation involves the treatment of one of the variables as a function of another and…

Q: B) Use the LU decomposition you found earlier to 6 Txl 3 1 -6 0 -16 x2 =| 4 8 -17x3 17 solve

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Q: . Solve the yn+2+4Yn+1-5Yn coefficients = n2"+2" using method of undetermined

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

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am…

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

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Q: 11.2) SOLVE : 5x²y" + x (1+x) y ² - y = 6 by Frobenius Method

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Q: Q5. A. Solve the Euler-Cauchy equation xy - 4xy + 6y = 0

A: The given questions are four individual questions. As per bartleby expert policy, only one…

Q: 3. 31 √ √(²x- (2x - 4y)dydx 1 -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: Find (e3x + 5sinx)dx. -e3x +5cosx +C O a. 3 e3x+1 -5cosx + C b. 3x + 1 e3x -5 cosx + C OC. -e3x -…

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Q: Q:2: a) Find implicitly, if y²cosy +x² = 2xy

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Q: 9y''-12y'=4y=0     y1=e2x/3 using reduction of order

A: We have to solve given  differential equation using reduction of order- 1) First we have to consider…

Q: 2. x3 - y3 = c³, find y" %3D HOOAT d²x 3. x* = at?, find dt2 1983

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Q: 5. f(x) = x - 16x + 64x? %3D Zero Multiplicity Effect

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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: (3x*-5)(2x +9x-6 of y= dy and %3D Determine the 7x

A: Simplify the equation. y=6x7-10x3+27x5-45x-18x4+307x5=67x2-107·1x2+277-457·1x4-187·1x+307·1x5

Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

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Q: 2t + 7 f(t) = t- 3 %3D h(n) = - 2n2-3n+1 %3D f(h(-1)) =

A: Here we have two functions f(t) and h(n), we want to find the value of f(h(—1)). To find f(h(—1)),…

Q: 2- X-J =(M(404) 3x उ्रुफट (X) %3D gu) =x°-8e

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Q: (xi+axy-3)dk + 2x°dy -0 3)ck +2x²dy =0 Qxt -3x*y? +x = 3 +2xy -3n =0 O Option 3 O Option 1 x+ 6x…

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Q: a) z=-x² + y² c) z² = x² + 2y² e) x² + y²-z² = 1 b) z=-x²-2y² d) -x² - y² + z² = 1

A: match the following quadratic surfaces with the following equations (a) z=-x2+y2

Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. 2x y = (-2 + 3r)e¯*+2e² B В y = (-1+ 2x)e2* + 2e…

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Q: 14. t- 3 x+2 x +1 %3D 15. x +1 1 %3D 3 2 y2 +4 y+ 2 y-2 y2 - 4 16. y 2 17. d +4 %3D d² + 3d – 4' d-…

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Q: Find the linearization L(x) of y = (64+3x2)-1/2 at a = 0. L(x) = %3D

A: The given function is: y=f(x)=(64+3x2)-12 So, f'(x)=-1264+3x2-32(6x)        =-3x64+3x232

Q: 3x+ y = 3 12. priiqe X- 2y = 8 | madeve

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Q: aпалyses). 3" a. an %3D 2n+2

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

Q: z2 – x² – y2 = 1 %3D -

A: We have to sketch the hyperboloid.

Q: The graph of y=x'-3x-24x +32 is concave upward on the interval (1, oo) because: O'=y"=0 Oy' is…

A: The given function is y=x3-3x2-24x+32

Q: S 9a – 3d = 3 %3D -За + d %3D -1 d = -1

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Q: (D² – 3D – 4)y = 0 is ° y = C,e** + C,e* " y = C,e** + C,e* 4х 4x -X -4x ° y = C,e** + C,e* y = C,e*…

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

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Q: (D³ – D)y = 4e * + 3e2x X. a. Ур а. у, — 2хе * + 2xe+ +-e e2x b. Yp = 2xe +e2* X- 3 2x C. Yp = 3xe 2…

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

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Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

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Q: (1– 1)y' – y² +x²y+2x = 0, Y1 = -x² %3D

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Q: A. Find dy 1. y = In V3x²- 9x +1

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Q: = (y² – z² +3yz – 2x of the following is/a

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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: Show whether the two equations y₁ = using the Wronskian. 12e and y2 1.2e are independent or…

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Q: y = 2xy- x %3D In(2y – 1) = -a2 +C None of the choices Option 2 y = e=*C+ } In(2y + 1) = -x² + C %3D…

A: We have to solve given problem:

Q: Solve the dff oq dy 3x寸票-5-2 %3D

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Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: f Lan 2X e *3 of +sec2X Pinel dy o

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Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D

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

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