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

Q: The general solution of (D³-5D2-6D)y=0 is Ay=c₁+c₂e2x + c3e³ B) y=c₁+c₂e-2x + c3e-3x y=c₁ex+c₂e²x +…

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Q: Find a particular solution to y" + 4y' + 3y = -16te²".

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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: Obtain the general solution. (D4 – D³ – 3D2 + D+2)y=0 O y= Ce* + C2e2x+ e¬*(C3+ Cax) O y= Ce-*+…

A: Solution is given as below:

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: The solution of y = 5y + e 2"y2, y(0) = 2 satisfies:

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Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: Give the general solution of (D5 – 3D^4 + 8D^2 – D – 5)y = 0

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Q: Find the general solution. 7. (4D4 + 4D – 3D² – 2D +1) y = 0 8. (D* + 3D – 6D² – 28D – 24) y = 0

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Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0

A: First I have find the roots of the auxiliary equation and then according to the roots find the…

Q: Let (xp, y,) be the solution of the following equations In 2 (2x)™² = (3y)n3 3Inx = 2lny %3D Then xo

A: Given equations are 2xln2=3yln33lnx=2lny

Q: The general solution of y" + 3y' – 10y = 0 is %3D

A: From the given problem,   y''+3y'-10y=0d2ydx2+3dydx-10y=0D2+3D-10y=0   So, the auxiliary equation…

Q: Find the general solution of the following: 7. (D³ – 4D² + 4D)y = 0

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

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Q: Obtain the general solution. (D^2- 2D + 2)y = 0

A: Using solution of Linear Differential Equations with constant coefficients.

Q: 1. Give the general solution of (D5 + 2D4 + 7D3 – 4D2 – 26D+20)y = 0 ="

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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: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3* -3x

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Q: B. Non- homogeneous Higher Ordered LDE 2 1.D +50² + 8D -9) y - 69x²e-*

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Q: Obtain the general solution. (D4 + 4D³ +2D²-8D-8)y=0 O y=e²x(C₁+C₂x) + C3е√²x + С₁е-√²x Oy=e-²x(C₁x…

A: Given differential equation is D4+4D3+2D2-8D-8y = 0 To obtain the general solution of the given…

Q: Find the general solution. 8. (D* + 3D – 6D² – 28D – 24) y = 0

A: Given differential equation homogeneous, linear differential equation of 4th order with constant…

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

A: Solution:-

Q: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…

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Q: 8. What is the particular solution of 2xyy' =1+y², when x = 2, y = 3 ? а. у%3D5x -1 C. y =V5x + 2 b.…

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Q: Find the general solution of (1) y′′+4y=8tant−π/2<t<π/2.

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Q: What is the general solution of xy^2dx+x^2ydy=0

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

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Q: Find the general solution to(D5 - 2D3 – 2D2 – 3D - 2)y=0

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Q: 9. Find the general Solution of the following DE. a. (D - 4D2+ 4D)y = 0. b. (9D + 6D² + D)y = 0. c.…

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Q: The solution of y – 6y – 2y = 0 is -

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

A: According to company rule, we can answer only first question and rest can be reposted.

Q: The general solution to (D4- 4D2) y = 0 is

A: Given,  D4-4D2y=0

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

A:

Q: obtain the general solution of (D^3+3D^2-4D-12)y=0

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

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Q: Find the general solution (D3-3D2-3D+1)y = 0

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Q: The general solution of (D³-4D2)y=0 is A y=c₁+ ₂²x+c₂e-²x By=c₁+ c₂x + c3e4x - 4x Ⓒy=C₁ + c₂x + c3е¯…

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Q: The general solution of (D³-5D² -6D)y=0 is A y=ce*+c2e*+ C3e* 3x y=c1+c2e¯2X+ Cze ©y=c,+c2e*+c3e* C…

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Q: 1. Give the general solution of (D5 + 2Dª + 7D³ – 4D² – 26D + 20)y = 0

A: We will find out the required solution.

Q: 9. (D2 - 2D +5)²y = 0 %3D

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Q: Solve the dff oq dy 3x寸票-5-2 %3D

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Q: = 0

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Q: What is the general solution of (D³ – 4D) y = 0 ? - O y = Ce-2 + C2e3 Oy = Ce-3z + C2 + Cze2= %3D O…

A: The given differential equation is D3-4Dy=0

Q: Find the general solution of (D^3- 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

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Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: Find the general solution to the DE y"-6y'+9y=t2e3t

A:

Q: Show solution how to find d2y/dx2 , d3y/dx3 , and d4y/dx4  when The given is x = t3 + t and y =…

A: Given: Show solution how to find d2y/dx2 , d3y/dx3 , and d4y/dx4  when The given is x = t3 + t and y…

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

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Q: 'ind the general solution of d³y 6. dr3 dy - 8y = 21e2 dr dr2

A: