(y+3) (x-3)² = 1 b. 25 16

Q: (D² +D- 1)² y = 0 , when x = y = 0 , y' = y" = 1, y" = -1 %3D

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

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Q: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

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

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Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1

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Q: . y"-3y' + 2y e3*;

A: In this question, the concept of a Differential equation is applied. Differential Equation A…

Q: [D³ 6D² + 11 D - 6) y = tanx -

A: Sol:- Original Differential Equation can be re-written as :- y''' -6y'' +11y' -6y=tanxThe general…

Q: D2 – 5D +6)y=3xex+2x2 , y(0)=0,y,(0)=1

A: Given differential equation is homogeneous ordinary differential equation. To solve this equation…

Q: O A y = -s – 1)? y = -412 + 1 y=D -쇼z2 + 1 O D. y Oc. |

A: Here we have to find the equation of parabola.

Q: dy =2x – 3 dr Suppose and y=2 when *=3. What is the value of y when *=4?

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Q: (8D°- 4D?- 2D +1)y-o Answer: y= (Catc2x) exp (x) + Cs exp (-*)

A: The given differential equation is 8D3-4D2-2D+1y=0 Solution can be calculated by using its auxiliary…

Q: /9-y² 19-v² e¬(**+y^) dxdy 9-y2 -

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Q: Solve:  y= 10cos(2pi/3 (17.2-0.3))+50  show your work

A: Solution: The objective is to solve the given equation

Q: EX. (D* – 5D³ + 6D² + 4D – 8)y = 0

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Q: d²y Find d , if you know y = 2x³ ?

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Q: 1J=-2 and y= 2

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Q: (D² - 3D + 2)y = 2e¯* +8 Your answer

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Q: Could you help me get the right answer tho my equation 5 - 3c ≤ c +17

A: 5-3c≤c+17

Q: x = u3 + 7 ; y= 6u? – 1 d²y ---> dx2

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

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Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: 3x2 – 2y2 = 30 2a2 – y? = 23 %3D -

A: Given that the two non-linear equations 3x2-2y2=302x2-y2=23and x0=2y0=-1 We use Taylor series to…

Q: (D² +D-1)²y= 0 ,when x= y= 0, y' = y" = 1 , y" = -1

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Q: 2x2 + 3y? = 44 %3D 5a2 – 4y? = 64 - Solution(s):

A: The solution of the problem is given in the next step.

Q: 2. The Auxiliary Equation : (4D* – 4D' – 23D² +12D+36)y = 0

A: Given: 4D4-4D3-23D2+12D+36y=0 So, 4m4-4m3-23m2+12m+36=0

Q: find the area of the shaded region

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Q: (D3 – 2D2 – D + 2)y = 10sin2x – 5cosx - -

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Q: 5. (D4 + 2D3 + 10D²)y = 0

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Q: just question (b) please have gotten up to y=e^-x3 +c

A: Given, dydx=2x4x2-1

Q: Find d2y/dx2 simplify in terms of x and y x2+y2=4

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

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Q: (a) (5 points) y = 5e² – 3x+17 (b) (5 points) y = –7e" + ex? (c) (5 points) y = 4lnx – 2xª (d) (5…

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Q: What is y equal to when x = -3? y 3 2x - 1 %D

A: Given,          y=2x-1 ; when x=-3

Q: The Yp of (D²+D) y=20

A: Given (D2 + D) y = 20 To find yp(x)

Q: 0. Solve y"+8y'+20y = 0, with y(0) = 2, y '(0) = -7.0

A: We have to find the solution of given differential equation.         y’’+8y’+20y=0  ; y(0)=2,…

Q: (D² – 8D + 16)y = 4e¬v2t, y(0) = -1, y'(0) = 3;

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Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1.

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Q: Method of Undetermined Coefficient 1. (D² + 6D + 9)y = 7xe-3x 2. (D° – 2D? – D + 2)y = 10sin2x –…

A: To solve the linear differential equation, find the complementary solution and the particular…

Q: (D² + 6D + 7)(D3 – 5D² + 6D)y = %3D

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Q: dy - 2ry = r'²

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Q: (D² – 3D – 4)y = 30e4* -

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Q: I. Perform the indicated operatic Z₁ =3e7 a) Z₁Z₂

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Q: 6. (D³ + 2D²)y = 0; when x = 0, y = -3, y' = 0, y" = 12

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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: Verfy ST F:(x²ty?)£- 2x ta; y=0; y>b Ans; -49b

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Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: y? -dy (y2–4) 7

A: We have to find solution

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y' = -1 What is the general solution?

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Q: 2. (6x-2) dy d2

A: Given query is to find the value of the integral.

Q: d4y Find Y=3X³-4X?+7X+10 dx4

A: Given y=3x3-4x2+7x+10 To find d4ydx4 Formulae used : dxn=nxn-1 dc=0, where c is a constant.…