Find the general solution off the following charccteristac eq uation, (m-1) (m+2)-(m-3) (m+u)=0

Q: 5 Solve the following system of equations using Cramer's rule -3x+2y-6z 6 5x + 7y - Sz = 6 x+ 4y -…

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Q: Q1/ By using the Gauss climentionfind the solution of the following system X+y -Z =9

A: The solution is given as

Q: 4 t2 – 4 dt -1

A: We have to find the integral using piecewise method.

Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

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Q: Use GAUSS ELIMINATION METHOD WITH 2x -y -67 = -2 %3D X - Sy -7 =-8 4 x ty-Z = 13 To SOLVE PA RTIAL…

A: The given system of equations                                2x-y-6z=-2…

Q: solve the Riccar' equanim 3 yoing the green partienten soluhon y'ax) + 1 y ₁x) +y²cx) = 4 ca).…

A: Riccati equation

Q: a. My =n xyy

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Q: Solve the following system of liniar equation by gauss-Jordan method.

A: The given system of linear equations is as follows. The augmented matrix for the given system of…

Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

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Q: П. Solve xау + (3х 2y)ax = U in two ways

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Q: Determine the solution set of the 7olloving equation using aLassian eliminaton method. 12x + 20y =…

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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: Let (xp, y,) be the solution of the following equations In 2 (2x)™² = (3y)n3 3Inx = 2lny %3D Then xo

A: Given equations are 2xln2=3yln33lnx=2lny

Q: (4D* – 4D³ – 23D² +12D+ 36)y = 0

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Q: Find the general solution of y' + ny = emx for all m, n. Note: The case m = −n must be treated…

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Q: Is y(x) = C1sin2x + C2cos2x, where C1 and C2 are arbitrary constants, a solution of y” + 4y = 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: A) (:: :) Verify that y = c₁cos(3x) + c₂sin(3x) is a solution of y' +9y = 0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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: 1. Use the simplex method to solve the following problem. Also verify your an using the dual of the…

A: We are not allowed to give handwritten solutions unless and until the question is too complex to…

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

A: Given that: (D3-D)y=4x2

Q: Find the general solution of: az əz 2, дх ду (1+ /z- x – y)

A: The given equation can be written as: 1+z−x−y∂z∂x+∂z∂y=2dx1+z−x−y=dy1=dz2          ......i

Q: a) Solve the following LP using Simplex Method. Max z = 1500x₁ + 2000x₂ + 2400x3 Subject to 3x₁ + x₂…

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Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х u(x,c) =4е 2 (зу-2х)12 ans3- и(x,…

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

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Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

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Q: Find the general solution of (3D2 + 5DD' - 2D'2)Z = 10 cosh(2x + 5y).

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Q: Find the solution using Gaussian elimination: 7x + 5y − 3z = 16 3x − 5y + 2z = −8 5x + 3y − 7z = 0

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Q: 2. Solve the following LPP using Simplex method. Max P 12X + 16Y Subject to: 10x + 20y =0 and Y >= 0

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Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

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Q: 7. Find the solution of the IVP: y" + y' – 2y = 4t, y(0) = 1,y'(0) = 2 using method of undetermined…

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Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

Q: Use Gauss Jorden method to solve and also verify the solution. 5x-2y+z=2 3x+2y+7z=3 x+y+3z=2

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Q: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

A: Use the IVT to prove thatx^2+ lnx =1/2 has a solution.

Q: 7. Use the Gauss-Jordan Elimination Method to solve the equations below 3x + 4z = 5 x + 5y + 2z - 5…

A: Given equations are3x + 4z = 5       →(1)x + 5y + 2z = 5 →(2)7x + 2y + z = 2 →(3)

Q: The general solution of 5uxx – 6uxy +uyy = 0 -

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Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)m3 3Inx: = 2Iny Then is

A: This is very complicated & lengthy problem.So I can do it in Advanced Mathematics.

Q: Verify that y = c1x+c2Vx+ is the general solution of the 6x following nonhomogeneous 2.²y" – xy' + y…

A: Derivative of xn: Derivative of an exponential function that is, xn is given by the formula,…

Q: The solution of the IVP t(t + 4)y + (t + 4) y =t, y(2) = 2 exists in the interv

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Q: - 9y" = 27 %3D

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Q: Solve the following using Gaussian elimination: 3x + 5y + 3z=1 4x + 7y + 6z=4 6x + 7y + 4z=2

A: system Ax=b is 353476674xyz=142 augmented matrix is  353147646742 R1← R1·13 =15311347646742 R2←…

Q: Solve the following using big M and 2-phase simplex Max Z = 2X1+5X2 S.T 3X1+2X2≥6 2X1+X2≤2 X1,X2≥0

A: AS YOU ASK MULTIPLE QUESTION I ANSWERED ONLY THE 1ST BIG M METHOD     Max Z =   2 X1 + 5 X2…

Q: Find the general solution. 6y(4) + 7y" – 12y" – 3y' + 2y = 0 SHOW WORK.

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

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Q: Verify that yp = 3e2x is a particular solutions of y" − 6y′ + 5? = −9e2x .

A: Explanation is given below...

Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

A: We have to verify that y=-4e-x-2e-2x+2x2-6x+7 is a solution of the ordinary differential equation…