Find the value of m, such that D1, D2, D3 meet each other at one point. D1: x - y = 1 ; D2: 2x + y = 5 ; D3: (2m - 5)x - my = 3

Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: Find the Solution of the ff: 1. (D³ – 3D² – 3D + 1)y = 0

A: As per our guidelines we are supposed to solve only one question i.e. the question no (1). For the…

Q: Solve (D3 – D?)y =0 O a. y = cqe0x + C2e* O b. y = C1+ C2x + C3e* O c. y = C1+C2X + C3e¬* * + c,e+ O…

A: The given homogeneous differential equation is: (D3-D2)y=0 The characteristic polynomial is: λ3-λ2…

Q: d²y Find dx2 , if y vx-x Jy = 9

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Q: Find the general solution of the difrential equation (D² – 4D +3)y = e²cos3x.

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Q: Solve (D- 1)'y=o O a. y = ce+C2xe+ c36 O b.y= c,e *+c,xe *+ + C,xeX + O c.y = C1e -

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Q: C has equation 2x2 +y2 = 18. Dete l passes through the point (1, 0). %3D

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: What is the value of p in the equation of the line px + 2y + 8 = 0, such that the x-intercept is 4?

A: Given: What is the value of p in the equation of the line px + 2y + 8 = 0, such that thex-intercept…

Q: Give the general solution of (D5 - 3Dª + 8D² – D – 5)y = 0

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Q: Obtain the general solution C. (D2 + 2D + 2)y = e-x

A: Obtain the general solution C. (D2 + 2D + 2)y = e-x

Q: The position of a particle is given by s(t) 2t3- 12t2 +18t, %3D is in seconds.

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Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 - 3x B y = c,xe"+c,e – 3x -3x Dy=c,e-+cze+cze*

A: 21 Given differential equation is D3+6D2+11D+6y=0. We have to find the general solution of the given…

Q: Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0 -

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Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: The solution of (D² – 4D+13)y 0 5 2x (A eix . Be Jox (A ex + Be)

A: D2-4D+13y=0 The auxiliary equation is m2-4m+13=0 ⇒m=4±-42-4132⇒m=2±3i

Q: Find the solution. (D³ - D']y = 0 y = c, +cx+czx²+c,e'+cge" y = (e, +c,)xe* +czx +c,e +cge* (c y =…

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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: = -21e 2 C D +4 D +9D t1o)y 4. /f x-O -4 l 10

A: To sove the initial value problem for y=y(x)

Q: Solve for y in the following linear equation: -- 12y + 3 -5y + - 11 Oy = - + 8 Oy=D -흑 + 2 Oy = - +…

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Q: Find the values of r for which y = e"* satisfies the equation y +2y -8y=0

A: The given differential equation is: y''+2y'-8y=0

Q: C. Find the general solution to the following. (D* – 2D – 7D² +8D+12)y = 0 1.

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Q: The particular solution of (D³-5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Give the general solution of (D5 – 3D4 + 8D² – D - 5)y = 0,

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Q: Find the point on the line -4x + 7y + 1 = 0 which is closest to the point (– 1, 3). %3D

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Q: Obtain the general solution.  1. (D4 - 5D2 - 6D - 2) y = 0 2. (D5 - 5D4 + 7D3 + D2 - 8D + 4) y=0

A: According to question, Given differential equation, 1. (D4 - 5D2 - 6D - 2) y = 0 2. (D5 - 5D4 + 7D3…

Q: Find the general solution to the following. | (D* – 2D –7D² +8D+12)y = 0 (D* +2D³ + D² +12D+20)y = 0…

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Q: Solve the equation: 8d3y/dx3 -5dy/dx+3y x3, for x, with initial values of (d3y/dx3 (0) = 4) and y…

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Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

Q: Q3) If y² + xy = 1, find y" at the point (0, -1)

A: We will differentiate twice and find the value of y" and it will be equal to,   - 1/4      The…

Q: Q.2 a- If w=xy+ find y2 +1 a²w a²w and дхду дудх

A: Solution Part A  Given. w = xy+eyy2+1  We have to find ∂2w∂x∂y   and  ∂2w∂y∂x

Q: Q5. Check whether the following statement is true or false. d²y + y? = 0 is non- linear equation.…

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Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 -2x Av=ce-tre-te +c -3x By=c₁e*+c₂ C + czte © y =…

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Q: What is the y-intercept for f(x) =;|2x + 6| – 1? А. (2,0) В. (о,-2) C. (0,6) D. (0,-1) E. not given

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Q: Find value of k in the equation kx+8y+11=0 if point X=(10,7) lies on this line

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Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

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

Q: c. Find the general solution to the following. (- | (D* - 2D' - 7D² +8D +12)y = 0 (D* +2D' + D²…

A: Take factor.

Q: Find Y in terms of x and y. d2y

A: Given an equation in terms of y and x as shown belowWe need to differentiate it with respect to x…

Q: y"- 5y + 4y ez.

A: Use second order ordinary differential equation rules

Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: If y= (9x2-6x +2)e3x find dy then choose the correct answer: dx

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Q: c. Find the general solution to the following. I - 1 (D' - 2D' - 7D² +8D +12)y = 0 (D* + 2D' + D²…

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Q: What is the y-intercept for h(x) = 2x²-4x +1 ; O A. (0, 1) O B. (0, -4) O C. (0, 0.25) O D. (0, 2)

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Q: Find the solution set to the ff: (Dª – 7D³ + 18D² – 20D + 8)y = 0 а) Сје* + (Сz + Сзх + Саx?)е2х b)…

A: We are given: D4-7D3+18D2-20D+8y=0 This can be done as follows:

Q: - 2r2- 6y = -2x + 5y %3D he previous step at x = -3.

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Q: dy Q 3-Find t=3 if y+ 4x2 = 7, x+ %3D

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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: Q5/ Find by using chain rule dx y = vt - 5 +t, x = tV4t + 8 +7 %3!

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Q: b) Find the solutions qf th equation 4.1.2 D Ø(D) 1. (D3 – 6D2 + 5D): 2. (4D2 - 3D- 10):

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Q: dy , Suppose z and y are variables that satisfy the equation r² – y³ = 12. What is dr

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