V3 The value of (y- 2)3/2 dy is | Answer: 3 8.

Q: Q6. Find the general solution using variation of parameters of y"+ 4y 8tant %3D | 2

A: To solve the differential equation:

Q: dx x4 + 4

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Q: 10. (D² + 4D + 5)y = 10; when x = 0, y = 0,y' = 0 %3D II

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Q: 2) (D3 + 3D2 4D – 12) y = 0 (D) (E) (F)

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Q: Find the general solution. 1. (D2 + 3D − 18)y = 0

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Q: d?y Calculate y = e-(x - 9) – x d?y dx2 II

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Q: (D³ + 4D² + 9D + 10)y - 24 e*; when x = 0, y = 0, y' = -4, y" = 10. %3D

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Q: Q3: Solve d2y dy +22+y = e* dx2 dx

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Q: Q2/ Evaluate: 16 c2 y dx dy 113+x9

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Q: Find d²y/dx² for the following equatio: f) x2/3 + y2/3 = 1 g) x³ + y4 = 16

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Q: d2y/ dx2 + y = xsinx and show that the solution is  y=c1sinx +c2cos x - x2cos x/4+xsinx/4

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Q: dy If y = (9x2 – 6x +2)e3* find then choose the correct answer: dx %3D

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Q: 2s (s² + 1)² 3) Find L¹ 40 by using the convolution theorem.

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Q: The y, of (D²+D)y=11 .A e¯X+11 .B 11 .C 11x .D does not exist

A: Given that  (D^2+D)y=11  To find the particular solution differential equation

Q: Let x = 1 + cost, y = 2sint. 7- d²y What is the value of dx2 O A) -2 B) -4V7 4V2 -V2 D) E) 2V2

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Q: d²y from the following dx2 Solve 1. y = 8x* – 12 x° + 6x² – 9 2. y= (4x-9)?

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Q: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: V4-y 2x+y r2r+y dz dx dy -V4-y

A: A triple integral involves the integral with respect to x,y, and z. Similar to partial…

Q: What is the solution for y(t)?

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Q: G of value raph using tables Y=Dx²-9

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Q: 2. (D² + 8D + 16)y = 1-e4x

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Q: eY+Ve2y-4 5. x = In sove for y“ 2.

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Q: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

Q: dy dx2 Find in terms of x and y. x?y² – 4x = 9

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Q: dy 9. x2-y = Jx2 – y². – y?.

A: Given:xdydx-y=x2-y2

Q: + 12D + 36)y = 0 5. (D³ + 3D² + 3D + 6 (D3 AD3

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Q: Solve the equation 2x² – 3y² = 6 for y. Is y a func- tion of x?

A: Given equation is 2x2-3y2=6. To solve for y and  to determine whether y is function of x. Solution:…

Q: d²y if 2x2 + 5y² = 9. Find %3D dx2 Provide your answer below: -口 dy dx2

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Q: Solve the equation: å oy = Esimpt t ezt-X %3D

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Q: Q3/ Solve dy dx4 2d²y + 1 = 0 dx²

A: Given d4ydx4-2d2ydx2+1=0To find solution:

Q: (D³ + 7D² + 19D + 13)y = 0 when x = 0,y = 0,y' = 2,y" = -12 %3D %3D

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Q: d?y Calculate dx2 y = -4x2 + 4x d?y dx2

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Q: Find the function​ y(x) satisfying d3y/dx3=36, y′′(0)=14, y′(0)=5, and y(0)=8.

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Q: Find dy. 3 y = x³ (15-47) dy = (Simplify your answer.)

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Q: d’y d²y D. = 3e* +4x2 dx dx2

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

Q: d?y Calculate dx2 y = -4x2 + 7x d?y dx2

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Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: d) y = - + 3 e) y = 20.5x f) y = V2(x – 6)

A: Given query is to find the transformation performed and then graph the function.

Q: d-y if x = t – t² and y = t -t3 dx2 1. Find

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

Q: d'y Calculate dx2 y = -5x2 + 7x %3D d?y dx2 %3D

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: d²y x+2 for y=- X-3 8. Find dx2

A: Differentiate with respect to x.

Q: Solve (D³ + 4D² + 5D) y = 0 ; when x = 0, y= 0, y' = 0, y" = –5 %3D E A- B I- E E !!

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Q: The y, of (D²+D)y = 11 .A does not exist .B 11x .C 11 .D e +11

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Q: Find dy dx2 given y2- x2 = 4. Simplify your answer. %3D

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

Q: d³y Find dx3 where y = e*(8x + 1)

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Q: Find d2y/dx2 for y = tln(t) + 9t, x = tet + 1.

A: Given,        y=tlnt+9t  and  x=tet+1

Q: 5. (D² + 1)y = 10e2x; when x = 0, y = 0,y' = 0 %3D

A: Find complementary function and particular integral then solution is given by y(x)= CF + PI .

Q: d²y Find dx2 x = t* - 8, y =t – t2 %3D

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Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

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