If (x + 2) is a factor of g(x) = kx' + 16x² – 36x – 16, then what is the value of k?

Q: (b) Find the general solution of: = yx² - xy ex

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Q: 4 t2 – 4 dt -1

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

Q: 11. Find the particular solution of 2ydx = 3xdy, when x -2, y = 1

A: Given : Differential equation :  2ydx = 3xdy And x = -2, y = 1   To find : Particular solution of…

Q: 2.1) SOLVE x²y" + xy² + (2x² - 2)y = 0 BY BESSELS METHOD

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Q: Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the…

A: Let us take f(x)=x3 − x − 1 So, f'(x)= 3x2 - 1 Given x1 = 1

Q: 9. Integral (2x-5) ai x² = 5x + 3 -

A:

Q: Find дхду of z = In(x² – y)

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the Gauss-Seidel iterative technique to find approximate solutions to 10x1 – x2 + 2x3 = 6, -x1 +…

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Q: SOLVE X²y" + xy² - (4x² + 1 ) y = =0 BY BESSELS METHOD.

A: As per the question we are given a second order linear homogeneous differential equation and we have…

Q: Consider the problem maxx [-(x - 4)]² subject to x21. Use Thus the Kuhn-Tucker conditions to find a…

A: We are given the following problem.       maxx -(x-4)2       Subject to x≥1 Let us simplify the…

Q: 1. 05x<5 2k ī (x) if (I - x) if sxsI 2 2kx < 1 2

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Q: 5. Solve xdx + ydy а? (хdу-ydx) x2+y2 using exact D.E method.

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Q: 11.2) SOLVE : 5x²y" + x (1+x) y ² - y = 6 by Frobenius Method

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Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given,             Since a certain virus has been contained in Wakanda, researchers have proven that…

Q: 1. Find for y = In () (A)+ 1 3x-2 X-1 1 x-1-x2 (B) x2 - -- x-1 x (х-1) x2 x2(x-1) x-1 1 X-2 (D) (E )…

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Q: 2x2+3x−20 has root(s) at x=

A:

Q: Q2: Find value X1,X2,X3 by Gauss method when : 2X1+4X2+5X3=-1 3X1+6X2+2X3=3 4X1+5X2+3X3=4

A:

Q: A quadratic equation x^2- 4x+4=O is defined with an initial guess of x(0)=3 and x(1)=2.5. Find the…

A: The complete solutions are given below

Q: 1. The initial guesses of the roots are x-1 = 2.5 and x, = 3.5 , what is the next iterative value of…

A: According to our company guidelines, we can solve the first question only and the rest can be…

Q: 1. D, [3x²y+In(xy²)] За + In(xg In(xy³)]

A: Given,

Q: 9. Find the general solutions of X' = AX with A =

A:

Q: Find extreme value(s) of z = 2x¡ + x,xX2 + 4x3 + x,x2 + x} + 2

A: Consider the provided question, According to you we need to solve only part (d). (d)

Q: Question (1)  Prove , ez1/ez2  = ez1-z2

A: The given equation is: ez1ez2=ez1-z2

Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 %3D

A:

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

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Q: 1, z2ー

A:

Q: Suppose that x-y" + axy' + by = 0 has the general solution of the following form: y = C,x³ + C2x³ In…

A:

Q: 4) To find the root of the equation x² - 3 = 0 using the fixed point method in [1,2], one of the…

A: The given problem is to find the iteration formula for finding the root of the given equation x2-3=0…

Q: dx 4. xV25-x2 5+vx2-25 In + C а. 5 b. In 5+Vx2-25 + C 5+v25-x2 In + C с. -- d. None of the above

A:

Q: Solve for X(n) using any 2 out of 3 methods of the given X(z). 1 X(z) = (1– z--)(1– z-2)

A: Given z‐transform can be written as Xz=z3z-1z2-1=z3z+1z-12

Q: By= In(Cx-2)

A:

Q: use the Lagrangian method to solve: U=x1^(1/2)x2^(1/2) subject to 50=5x1+10x2

A:

Q: the next iterative value of the of x² - 4 = O using secant method, if the initial guess is 3 and 4

A:

Q: x²y = 1+ cx

A: the given equation is x2y=1+cx

Q: Find the general solution of ylty = 2xcosx -cosX %3D

A:

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: (4) B/ If Ø = (x³y²z) and A = 2xz 1-3y2j+ 3xy²k Find ?у ?х the point (2, -1, 3)? at

A: Given:        ϕ=x3y2z         A=2xzi^-3y2j^+3xy2k^         ϕA=x3y2z2xzi^-3y2j^+3xy2k^…

Q: Solve the value of x in the given equation _by Jacobi and Gauss-Seidel Method. 13x2 + 4x3 = 111 4x1…

A: Given the equation system  19x1-13x2+4x3=1114x1+22x2-13x3=-1288x1+8x2+17x3=10 We have to solve the…

Q: solve for x if CDy=4(x-E)

A:

Q: 2. Two years ago, a father was four times as old as his son. In 3 years, the father will only be…

A: 2) Given that two years ago a father was four times as old as his son and in 3 years, the father…

Q: 2 solve: csc x restricting attention to 0 < x < 2n 3

A: csc x ≥ 23.

Q: 4) To find the root of the equation x²-3 = 0 using the fixed point method in [1,2], one of the…

A:

Q: 3. Find the general solution using the method of Variation of Parameters. y" + y = = sect

A:

Q: 2. Use the Newton-Raphson method to find a root of the equation x - 2x - 5 = 0 and an %3D initial…

A: 2. Given equation is f(x)= x3-2x-5 f'(x)=3x2-2 x0=0 First Iteration:  First iteration:…

Q: S'z xdx (1+x)*

A:

Q: Xyz = 0 12. Solve: {x+ 2z = 1 2y-z 4

A:

Q: 4) To find the root of the equation x2- 6 = 0 by using the fixed point method in [1,2] one of the…

A: Fixed point iteration method

Q: 22. Find the particular solution for he non-homogen 1st OLDE using undetermined coefficient method,…

A: Differential equation system.

Q: X-2y+3z=11 4x+2y-3z=4 3x+3y-z=4 Solve by  Gaussian elimination

A: