Obtain the particular solution 1. (D³ +6D² + 12D + 8)y=0 when x = 0, y = 1, y'= -2, y" = 2 2. y" + 2y' + y = x when x = 0, y = -3 and x = 1, y = -1

Q: 2. y" + 4y = 8t²-20t+8

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Q: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

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Q: y" - 8y + 25y = 0; y(0) = 0, y'(0) = 3

A: y''-8y'+25y=0; y(0)=0, y'(0)=3 We have to solve it using Laplace transform.

Q: Obtain the general solution. 1. (D^4 - 5D^2 - 6D - 2)y = 0 2. (D^2 - 2D + 2)y = 0

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Q: Solve y" + 21y" + 147y + 343y = 48xe-7

A: To solve given differential equation first we find the roots of homogeneous part and then write the…

Q: Solve Ихх + t³× u(x, 0) = 0

A: solve the system of ordinary differential equations:dx/ds = 1dt/ ds = 1dU/ds = Ut + t2x from first 2…

Q: Solve using method of undetermined coefficients (D2 + 4D + 5) = 13e3x + 50x When x=0, y=0, y'=0

A: Solution is given below:

Q: xy' – y – 5x* – 3x² + 2x = 0 when x = 1 and y = 2

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Q: solve  w''' - 4w'' - 25w' + 100w = 0 how many linear independent solution to the equation needed…

A: solve  w''' - 4w'' - 25w' + 100w = 0 how many linear independent solution to the equation needed to…

Q: y"" + 3y'' − 4y = 0. Find y . Please check the equation carefully and then start

A: We have given equation y''''+3y''-4y=0   Auxiliary equation of differential equation is  m4+3m2-4=0…

Q: y" + xy' = 0, x0=0

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Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

Q: find the solution (4D^2-4D+1)y=0 when x=0, y=-2, y'=2

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Q: Find y' for y = 8x³ + 5x² − 7x + 4 - A) 24x + 5 C) 83x² +52x - 7x B) 3x² + 2x - 11 D) 24x² + 10x - 7

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Q: x^2 - xy + y^2 = 3, find y'' Step by step solutions.

A: Given: x2-xy+y2=3 To find y''.

Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: (3x*-5)(2x +9x-6 of y= dy and %3D Determine the 7x

A: Simplify the equation. y=6x7-10x3+27x5-45x-18x4+307x5=67x2-107·1x2+277-457·1x4-187·1x+307·1x5

Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: Find the general solution: 8x^3 y''' + 10x^2 y'' + xy' + y = 5

A: According to the given information it is required to find the general solution of the given…

Q: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

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Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

A: Given system of linear equations; 2x+y-z= 3 x-y+z = 0    y+2z=1 We can use Cramer's rule to solve…

Q: What is the special solution of the equation y0̅ ? y''' + 5y'' + 12y' + 8y =5sin2x +10x2 - 3x + 7

A: Find the attachment

Q: (ху + 1)dx + x(х + 4у — 2)dy 3 0; у(1) — —1

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Q: sec (2 – 3x) A. – 9sec (2 – 3x)tan (2 – 3x) - 9sec (2 – 3x) tan tan (2 – - C. 9 sec (2 – 3x) tan tan…

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Q: solve (3-2) dx Ex Solve 3xý = zy (y-3) Ex6 + (3x-4) dy =0 %3D

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Please find the general solution of the following equations: (x - 1)3y''' + 2(x-1)2y'' - 4(x-1)y' +…

A: *By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Solve for Undetermined Coefficients y-y" - 4y + 4y = 5-e* + e²x

A: