The solution of the quadratic equation 4x² + 5x + 2 = 0 are O -5± vỹ 8 O -5± vỹ 12 O -5+ vī O -5+v-7 8. -5± vỹ 16

Q: Prove that there are no integer solutions (x, y, z, w) to the equation x³ +y³ 3z²+9w² +3. =

A: The given equation is x3+y3=3z2+9w2+3. We have to prove that there is no integer solution to the…

Q: у" - у' - 2sin 2x

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Q: Solve the initial value problem -4sin(2t – 4), s'(0) = 100, s(0) = 0. %3D %3D dr2

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Q: GIVEN: (xn , yn) = (1, 3), (2, 4), (4, 7), (5, 9) Determine the best-fit quadratic curve that…

A: GIVEN: (xn, yn)=(1, 3), (2, 4), (4, 7), (5, 9) we have to determine best-fit quadratic curve that…

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

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Q: Q.4 Solve Cauchy Euler DE x³y" + 4x²y" – 5xy' – 15y = x*

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

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Q: Proivde general solution of the given ay'' + by' + cy = 0 and b^2 - 4ac > 0

A: ay'' + by' + cy = 0 and b2 - 4ac > 0 We need to provide the general solution of the given…

Q: wouldn't there be a t in the second term of the general solution?

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Q: Determine the interval of validity for the solution of the following IVP without solving it. (t2…

A: Given: t2-9y'+2y=ln20-4t, y4=-3 To Determine: Determine the interval of validity for the solutions…

Q: Find the general solution of i = Ax, where A = .

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Q: 6. Solve using Jacobi Method 5х — 2y +3z %3D-1 2х — у — 7z %3D 3 -3x + 9y + z = 2

A: the Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally…

Q: A quadratic equation x4-x-8=O is defined with an initial guess of 1 and 2. Find the approximated…

A: We need to find value of x2 using secant method.

Q: 1. y" + 4y'+ 3y = 12 В. 12 А. 4 С. -4 D. 4x

A: Given y''+4y'+3y=12(D2+4D+3)Y=12Auxillary equation is m2+4m+3=0Upon solving, m=-1,-3CF,…

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: 2.5 Solve for z if cosh z = V3i.

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Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

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Q: use the jacobi method to ding approximate solution for x+6y-8z=-6.6 10x-3y+6z=8.6 x+15y-9z=0.8

A: Given x+6y-8z=-6.6           10x-3y+6z=8.6            x+15y-92=0.8 To find: The solution of system…

Q: per integral test, SELECT ALL AP A) (-1)" B) none of these 8n2 + 3n + 3 (-1)" dz 8z2 + 3z + 3…

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Q: 3. 2y" + у' - 3 А. 3 В. Зх C. 3x D. x?

A:

Q: 4. Solve the IVP: d?s t3, dt2 A. 20s = t5 + 200t – 100 B. 20s = t5 – 200t + 100 s(0) = 5,s'(0) = 10…

A: Given IVPd2sdt2=t3, s0=5, s'0=10sinced2sdt2=t3on integrating

Q: 1. Determine all possible solutions of ²u ex² = d²u oy ² by using variable separable method. 7

A: The given problem is to solve the given partial differential equation by using the method of…

Q: 8. Solve the Cauchy-Euler equation 4x²y" + 8xy' + y = 0.

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

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Q: Verify that z 2 + 4i is a solution of z2 + 6z - 40i = 0. Is 2+ 41 also a solution?

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Q: 24. Find the first approximate solutions for -2x? + 4x + 2 = 0. 1 - and x = 3- 3 3 x = and x = 3- 3…

A: -2x2+4x +2 = 0Dividing Both the Sides by -2x2-2x-1 = 0Since the coefficient of x2 is 1Move the…

Q: Show that the equation 2³ + 3y3 = 923 has no solution in integers, other than x = y = z = 0.

A: Suppose that, x3+3y3=9z2 has a non-trivial solution, that is other than (0,0,0), and minimal.

Q: 6y" – 7y' – 5y = 2x³ + e¯* – 5 -

A: Ordinary differential equation involves the derivative of single dependent and single independent…

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: Selve The following syslem liner of equations: 1+ 44-21= 8 -3n + 2y-6Z=6 5n+ Fy-52-6 Solve by Using…

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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: 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 f, e-+ n² dt. 6.

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Q: 4. Solve Ar, = 3n2 + 4n - 1 with the initial condition r = 3. %3D

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Q: Use undetermined coefficients to find the particular solution to y''−9y'+20y=−1768sin(t)

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Q: The equation X2 - 19Y² = 13 has an integral solution, i.e., there is a pair hat x2 19y2= 13. (proof…

A: We have to solve given problems:

Q: SOLVE A SYSTE M OF LINEAR EQUATIONS LU DECOMPOSI TION METHOD USING 2x + 2y +2 : 5 1X+ 32 : 5 EX +Hy…

A: Given 2x+2y+z=5x+3z=5-x+4y=2

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: Solve the inizial Nalve pooblem 2xe %3D yco)3=

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Q: 2. u(z) +

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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)*

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Q: #9a using Descartes's rule of sign

A: Given equation is,

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

A: Explanation is given below...

Q: = 3e2x and y,, = x² + 3x are respectively solutions of у" - бу' + 5у -9е2х y" – 6y' + 5y = 5x² + 3x…

A: General solution y(g)= y(h)+y(p)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.