Find the general solution 1. (D5 + D* - 6D° - 10D + 8D - 12)y = 6e-3x 2. (D* - 15D + 1OD + 60D-72)y = 9+x2

Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: Solve (t² +68²) dt a. 2t² = 1² (38 b. 3s² = t² (2t c. 2s2 t² (3t = - - Your answer is incorrect. The…

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Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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Q: D. y" + y' - 3y = 4sin 2x

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Q: d²y Solve the particular solution for = 2 – 4x when points (0, 2) and (-1, 3) are on the dx2 curve.

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Q: Determine if the equation (dfferential form) is exact and find the solution if it is…

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Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

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Q: Solve the linear equation by using Cramer's rule: 2x+3y-4z=-3.... .(1) x+2y+3z=3... Зx-у-z-6....…

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Q: D3-7D² + 16D-12)y=e^7x + Cos5x + Sin5x

A: Given:

Q: O Solve Cauchy Euler equation a'y"- 3ay/-2y = 0. %3D

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Q: solve the DE y'' - 5y' + 6y = 32xe2x, y(0) = 1, y'(0) = 0

A: *Concept:- the give differential equation is Linear differential equation of higher order with…

Q: [1] Solve for the GS of (D4-5D³+9D²-7D+2)y=0

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

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: a) Find the general solution of the equation dªy dy dx² 4- x2 + 3e* - dr4 by using the method of…

A: As you have posted multiple parts,but they are independent so according to our guidelines we will…

Q: Solve the equations 3x+y+2z=3;2x-3y-z=-3;x+2y+z=4 Using gauss eliminating method

A: Solve the equations 3x+y+2z=3;2x-3y-z=-3;x+2y+z=4 Using gauss eliminating method

Q: 10et --2 Use lap lay trensform system dy, to find the solution of the 1 dx -24, + Y3 +Y2 XP

A: Given system is dy1dx-y2=04y1+dy2dx-4y2-2y3=0-2y1+y2+dy3dx+y3=0 From the first equation of the…

Q: Find a (real) general solution. y" + 2y' + 2y = 4e¯* sec³x

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Q: Find the solution. (D4+2D³ + 10D²)y =0. y = c,+c,x+e¯*(c,cos3x +c,sin3x) C B y = (c,+c,)x+e-(c,cos3x…

A: Given Differential equation is D2+2D3+10D2y = 0

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: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

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Q: Q/ Solve the di Pferential e quation y+2y-3y=7R-3x

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Q: Q4/Find x and y that make the equations equal to zero: 5x+2y-4=0 6x+8y-2=0

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Q: T + 4y – 6z =-1 2 2x -y+2z = -7 --x + 2y - 4z = 5 The solution is (z,Y, 2) = ):

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Q: 9 y y' - -y x2 and find the solution that satisfies y(1) = 1.

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Q: Solve the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

Q: Find the general solution using the method of variation of parameters (1) y" + 9y = 12 sec 3x

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

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Q: Q1: Solve the second order linear homogenous equation: y" – 2ky' + 4y = 0 k > 2 -

A: According to our guideline we can only answer first question and rest can be reposted.

Q: Use the method of variation of parameters to solve y" – 4y +4y = 2e". %3D -

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Q: Solve using MUC: '-8y + 16y=2(x+12) 3 y= C, e^X + C,xeAX + 8. X- 2 7 3 y=C; eX + C,xe^* + 7 X- 2 B…

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Q: Find the general solution and the particular equation of the Equation Linear 2ª order given the…

A: We have to be find solution

Q: Use an appropriate substitution to solve the equation z15 and find the solution that satisfies y(1)…

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Q: Q.4 Use the method of separation of variables to solve : xyu̟ +2u, =0, U(x,0) = 3x* . %3D

A: Standard partial differential is given as: p∂u∂x+q∂u∂y=r Lagrange method for finding solution for…

Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: Find the particular solution. (D^2 − 2D − 3)y = 0; when x = 0, y = 0, y′ = −4

A: From the given differential equation; D2-2D-3y=0 The auxiliary equation is: m2-2m-3=0 Now solve;…

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Q4\ Solve by Gaussian elimination x - 4y - 2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

A: Given that, D2+4D+5y=13e3x+50xwhen x=0,y=0,y'=0

Q: Solve the nonhomogeneous equation: (D2-4)y = 2 –8x, when x=0, y=0, y’=5, using undetermined…

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Q: The solutions of the equation 2r + 4y = 6, x, yEZ, are O a. a= -2t, y =3+4t, teZ b. = 3+2t. y =-t,…

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Q: Use Gaussian Eleminetion to solve 20+ y + 2Z =8 3y + 3Z a-4 4¢ + 24 - Z = Iv

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Q: (D³ + 2D² − 5D − 8)y = 0, when x = 0, y = 0, y' = 0, y = 2 - -

A: Given  (D3+2D2-5D-8)y=0 and when x=0, y=0, y'=0, y''=2. The formula for differentiation is…

Q: Q.4 Use the method of separation of variables to solve 2.xyU, +2U, = 0, U(x,0) = 3e %3D

A: Standard quasi linear  partial differential equation is given as: p∂u∂x+q∂u∂y=r  Lagrange method for…

Q: general

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Q: Find the solution. (D5- 2D3- 202- 3D - 2ly = 0. A y - (e,+ele. O y - (e,+e

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

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Q: (y2-2xy-x2)dx+(2x2)dy        Find the solution of the equation through the point (1,2)

A: We have to find the general solution from the given condition

Q: b) Find the solutions qf th equation 4.1.2 D Ø(D) 1. (D3 – 6D2 + 5D): 2. (4D2 - 3D- 10):

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