Find the general solution (D3+2D2+D+2)y = 0

Q: y4) – 2y"+ y = 4cos (x+ 3)

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

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Q: show that the 2x2-y2=C is a solution to yy'-2x=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: 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: у" — у' — х %3 0

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Q: Which of the following has no solution? 3x²+2 y%=D36 4x-y'=4 4x²+9 y=5 y=x² B.

A: Given equations:- A) 3x2+2y2=36      4x2-y2=4 B) 4x2+9y2=5       y=x2 c)9y2-2x2=1    3y2-7x2=5 D)…

Q: 2. Find the general solution for equation y" - 2y" - 3y + 10y = 0

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Q: dy = 6x(y – 1)2/3. dr

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Q: Find the general solution of y""- 5y"- 6y'=0

A: The given differential equation y'''-5y''-6y'=0

Q: Find the general solution of the BDE, y' = a. y=1-Cx 2x2 b. y= 1+Cx С. у3 1+Cx2 2x d. y= 1+Cx2

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Q: What is the general solution of the equation y '(t) = -4y + 6?

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Q: find the general solution of the equation. y - 4y = 2e" V.

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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: Solve for the general solution (D4 – 16)y = x* + x + 1

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

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Q: The equation y2 = cx is the general solution of:

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Q: Find a particular solution to y"+3y'+2 y = x² - 3.

A: Given that,         y"+3y'+2y=x2-3  ⇒D2y+3Dy+2y=x2-3 Where, D=dydx ⇒D2+3D+2y=x2-3  Let, FD=D2+3D+2…

Q: 7. Find the general solution of (Dʻ + 2D’ + 10D²)y = 0.

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Q: The general solution of the equation (D4 +D²)y= -12 is A y=c₁ + c₂x + c3cosx + casinx+3x² B y=c₁ +…

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Q: Find the general solution of the given equation 2y''  - y' - 3y = 0

A: Given:              2y''-y'-3y=0   Solution:               We can solve this equation using :…

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: Find the general solution of: y"- 4y' + 4y= e2x %3D

A: Method of variation of parameters : consider the differential equation        d2ydx2+P(x)dydx+Q(x)…

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 of the equation (D4+D²)y= -12 is Ay=c₁ + C₂X + c3cOSX + Casinx -3x² B y=C₁ +…

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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

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Q: Find the equation for the general solution y²= cx

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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: 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: "D² - D - 2)y= 1 - 2x - 9e -x

A: Given differential equation D2-D-2y=1-2x-9e-x Auxiliary equation m2-m-2=0(m-2)(m+1)=0m=2, -1 hence…

Q: = 0

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Q: (D² – 3D + 2)y = 2x3 – 9x2 + 6x. Find the solution. * c,e* + c2e2x + x³ + 1 ce* + cze2* +x³ ce* +…

A: Second option is correct

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: y" – 2y' + 2y = 0.

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

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Q: Find the general solution for equation y" - 2y" - 3y +10y = 0

A: y'''-2y''-3y'+10y=0

Q: Find the General Solution: y" +y' - 6y = 2x

A: The given equation is a second order linear differential equation having constant coefficients. The…

Q: Find the general solution for y' = y – xy³e-2x

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Q: Find the general solution for b. у" — 2y" + 4y' — 8у %3D 0

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