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

Q: Q2 Find the general solution of y" + 5y' +6y = 4e +5sin .x.

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

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Q: following is sol

A: Which of the following is solution of (D3-2D2-5D+6)y=0

Q: The solution of the IVP y = x2(1+y), y(0) =3 is O None of these. y= 4e 3 - 1. y3 xe + 3. .3 3. y36e…

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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: A. Obtained the general solution. E... 10. (D² – 3D + 2)y = 3x²

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Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

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: Find the General Solution of (D² + 5DD' +6D2)Z = 10 cos(x - y)

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Q: 6. Find the general solution to y" – 6y" = 3 – 6e2z

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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: Find the particular solution to D²y – 6Dy + 9y = e3x – ex when x = 0, y =y' = - 3 %3D

A: For given differential equation we have to find particular solution.

Q: Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" +…

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Q: 3. Find the general solutions of, (xy +x² )dy + y²dx = 0 b.

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

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

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

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Q: 7. Find the general solution of ( D5 + 3D4 – 21D³ – 47D² + 120D + 144 )y = 0 a. y = ciex + c2e3x +…

A: To find out the general solution.

Q: Find a particular solution to y"+6y +9y = 5e-3t t2 +1 Yp=

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Q: 5(a) Find the General solution of the Diffe -3x (D² + 6D + 5)y = e 3" (1 – 2sin²x) ||

A: Explanation of the solution is given below....

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 to the DE y"-4y'+13y=0

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Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: Which of the following is solution of (D3+2D2+D)y=0(D3+2D2+D)y=0 ? a.…

A: We have given  differential equation D3+2D2+Dy=0 Auxiliary equation of diferential equation…

Q: The general solution of 4y"+4y' +y = 0 is ()%3D

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Q: Show that u(x, y) = y²e* + 3x² is the solution for u = yuyy + 6x . 2

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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: 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: Find general solution of pde  (D^2 + 3DD' + 2D'^2)z = e^(3x-2y)

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Q: Find the general solution of xy + 6y = 6x, VD. 3x a) O y2 7 b) O y2 3x* +C 9x8 c) Oy = + C 49 d) Oy…

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Q: Find the general solution of the following: 1. (D² – D – 2)y = 0 2. (D² + 3D)y = 0 3. (D² – 5D) + 4y…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: d²y 4y 3e2x. %3D dx2 3.

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Q: 2. Find the general solution of d'y -6 da dr +12 - 8y = 21e2 da

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Q: A Find the general Solution of y"ty=2xcorx -Cosx %3D

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Q: Obtain the general solution of the homogenous L.D.E (D³-14D+8)y=0

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Q: 1. Find the general solution of the following DE: c) y"-9y = 0 d) y"-6у'+ 9у 3D0 a) y"+3y'+ 2y = 0…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other part…

Q: y" + 10y' + 26y =0

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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: 17 c. Find the general solution of the D.E. 2 y" +4y'-8y = 8×-4e²* +4

A: We solve given DE by using method of undetermined coefficient.

Q: Find the general solution of the following 13. (D² – 2D + 2)y = 0

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Q: Find the particular solution of y" + 2y' – 3y = 0 when x = 0, y = 0, y' = -4. %D

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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: c) give a particular solution for y" – 2y' + y = 3e* + 1+x

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

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

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Q: 5. Find the general solution of y"' + y'" - 6y' + 4y = 0 +

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Q: 2) Find the general solution. y" + 3y" – 4y' – 12y = 0 d°x d*x d³x 12 ds d²x ds ds²

A: Here we calculate roots of auxiliary equation.

Q: Find the general solution of (D² + 5DD' + 6D²)Z = 10 cos(2x + 5y).

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

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Q: Find the general solution of D² + 16D)y = cos4x

A: We have to find general solution of the differential equation: D2+16Dy=cos4x Auxiliary equation…