(D3 – D² + D – 1)y = 15sin2x 4. Find the general solution of using method of undetermined coefficient.

Q: Q6. Find the general solution using variation of parameters of y"+ 4y 8tant %3D | 2

A: To solve the differential equation:

Q: 2. Use the method of undetermined coefficients to solve the equation y" – 3y + 2y = e +2.

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Q: 7. Find the solution of the DE: (D? + 9)y = x+e2 using method of undetermined coefficients.

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Q: Q6. Find general solution of the DE 4x²y" + 8xy' + y = 0

A: This is Cauchy- Euler equation. We can solve this equation as follows :

Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Solution of the D.E y"+ 3y' + 2y= 12x² when solved using the method of undetermined coefficients is

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

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

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Q: Solve the non-homo. D.E. 1.y" + y = 3e2x

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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: Solve the d.e. using Method of Undetermined Coefficients (MUC) (D² – 3D – 4)y = 30e4x ||

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Q: What is the solution of D.E y"- 4y = 9xe* when solved using the method of undetermined coefficients?

A: This is a question of inhomogeneous differential equation.

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

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Q: Show your complete solution in finding the General Solution of (D³ - D)y = 4x² Use method of…

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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: 6. Find the solution of dy = (y² – y)x². dr

A: Definition used -          The solution of the variable separable differential equation-…

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: 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: -(D² – 25) y = x e* . Using method of undetermined coefficients, what is y Consider A ' = Ax e* + B…

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Q: ) Use the method of Undetermined Coefficients to find the general solution to the DE y" – 3y + 2y =…

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Q: Solve for the solution of this D.E. y''' + 2y'' - 5y'-6y=0 Which has values of y=3, y'=6. y''=12…

A: Now , we have a homogenous differential equation . y'''+2y''-5y'-6y=0y(0)=3y'(0)=6y''(0)=12 We find…

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: Obtain the genral solution. (D3 + 5D2 + 7D+ 3)y=0

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Q: Use the method of undetermined coefficients to find the general solution y'' +3y' +2y =e-t +t2 +2t

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

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Q: Find the general solution to y" – y' – 2y = 3x + 4. (Be sure to find the values of the coefficients…

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Q: Find the solution of y" – by' + 9y = 16 et with y(0) = 2 and y' (0) = 1.

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Q: Check that y Cx) = e* is the Solution of y" + y' - 2y = 0

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Q: Q(4) Find the general solution of dy =(r- y+ 5). dr

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Q: Q16// find the general solution (cosx)y²dx + 2ysinx dy = 0

A: I

Q: Solve for the solution of: (D3 + D)2y = 0

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Q: nd the general solution to: 2yy -e^ = 0, |

A: The question is taken from the calculus in which we have to find  the general solution of  given…

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: 4. Obtain the general solution (D + D - 9D - Dy = 6e - X 3x + 3xe

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Q: (D² – 3D + 2)y = e2×(1 + e2x)¯ -

A: Given: D2-3D+2y=e2x(1+e2x)-1 Formula used:y=yh+yp

Q: Find the general solution to the DE y"-4y'+13y=0

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

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Q: Q(2) Find the general solution of (2r2 + y)dr + (x2y-r)dy 0.

A: Solve the differential equations using exact differential equation method

Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

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Q: (D³ – 3D² + 9D+ 13)y= 0

A: Answer and explanation is given below..

Q: Solve the follawing D ·E. 2. y²dx + (3xy +y²-1) dy =0

A: Please refer the attached image for complete solution.

Q: Q(5) Find the general solution of (r+2y- 4)dr - (2r +y- 5)dy = 0.

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Q: Q2. Find general solution of the DE 4y" + 4y" + y' = 0

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Q: Determine a general solution for the DE : y" + 2k?y' + k*y = 0

A: We have to find the solution for given differential equation

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

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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: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

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

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

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