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

Q: Find the general solution of dy d²y 6- dx2 + 12- dx fip - 8y = 21e2 dx3

A: General solution

Q: The general solution of (D³-5D2-6D)y=0 is Ay=c₁еx+c₂e²x + c3e³x By=c₁+c₂e²x + C 2x 3x cy=c₁+c₂ex+ C…

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Q: the general solution of DE d2y/dx -5dy/dx+6y=e4x

A: I have used method of undermined coefficient to solve the differential equation

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

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

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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: What is the general solution of the equation y '(t) = 3y - 12?

A: We first separate the variables

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

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Q: The general solution of (D³-5D²-6D)y=0 is A y=ce*+czex+C3e³ 3x B y=c+c2ex+ C3e3x y=c+c2e¯X+ c3e6x O…

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Q: SOlve the differentilal equation d²y d*y 4- d³y + 7. dx2 14 | dx+ dx3

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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: The general solution of the equation (D"+ D)y= - 12 is A) y= c1 + c2x + C3cosx + c4sinx +3x2 y= C1 +…

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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: The general solution of the s.o.d.e y"-4y'+13=O is

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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: Find the general solution for the equation: D2(D4-16)y = 0 is y = ?

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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: Find the general solution of d³y d²y dx3 ' dy 4 - 4y = 6e-* + 8x + 8 dx dx²

A: 1f(D) eax =1f(a)eax ; provided f(a)≠0.If case of failure f(a)=0 , then                  = x 1df(D)dD…

Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

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Q: Find the general solution of d³y d²y dy + 4. +9+ 10y = -24e* dx3 dx2 dx

A: The given equation is; d3y/dx3 +4d2y/dx2 +9dy/dx +10y=-24ex.

Q: What is the general solution of ху(ху? - 1)dx + х?(1+ ху) dy3D0 ? A 2x3y5-3x2=c B 4x³y7 +3x? = cyA ©…

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

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Q: Find the solution to the Bernoulli Equation. 2x³y = y(y²+3x²)

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

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Q: The general solution of (D³-4D²)y=0 is A y=C₁ + C₂x + c3e-4x B y=C₁ + C₂x + c3e4x C D y=c₁+ c₂e²x +…

A: To find the general solution of  D3-4D2y=0

Q: 5. Find a particular solution to the equation y" + 4y/ + 4y = xe-2".

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Q: What is the particular solution if y(1)=D0? 1/2 xy = y+ (a² + y³)2

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Q: What is the general solution of ху(ху5 - 1)dx + х?(1+ ху)dу%3D0 ? A 2x°y³ - 3x² = Cx? B 2x?y5- 3x? =…

A: Solution: The given equation is  xy(xy5-1)dx +x2(1+xy5)dy=0

Q: Find the general solution please. (D3 -D)y =-2(1+x)+4ex -6e-x +96e3x

A: Given that the differential equation is     (D3-D)y = -2(1+x)+4ex-6e-x+96e3x  Here we have to find…

Q: The general solution of (D³– 4D²)y=0 is A y=(c+ c2x)e¯* +c3ex B y=c+ c2e +c3e-2x © y=c1+ c2x +C3e¬4x…

A: To find the general solution of given differential equation.

Q: The general solution of (D³-4D²)y=0 is A y=C₁ + ₂x + c3e4x By=c₁+ c₂e²x + c3e-²x Ⓒy=c₁+ c₂x + c3e-4x…

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Q: The general solution to the DE (D-3)(D2-4)2(Y)=0

A: We have to solve

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

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Q: d²y 4y 3e2x. %3D dx2 3.

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

A: To find the general solution of  D5-3D4+8D2-D-5y=0.

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: The general solution of (D3-5D² -6D)y=0 is y=ce*+c2 3x + Cze A 3x B y=c1+c2e+ Cze³ ©y=c+c2e¬x+…

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Q: = 0

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Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

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: 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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