Determine the point of intersection (roots) of the following equations below at 3rd iteration using Newton's Method for system of equations with the following limits x, = -3, yn = 1.5, and z, = -4 and a stopping criterion of 0.001. xyz = 2 2x² + y? + 6z = 4 x² + y² + 4z² = 9

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Q: Solve of the following system of differential equations: (z' = 2x + y, %3D ¤(0) = 0, y(0) = 1. (y' =…

A: Given system of differential equations is x'=2x+y and y'=-14x+y with the initial conditions x0=0 and…

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Q: Use the Newton Raphson Method with XO=[-1 -2 1]" to approximate the solution to the given nonlinear…

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Q: dr = -4rt whent=0, r=r, dt Obtain the particular solution of - %3D

A: we have to use separation of variable

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Q: 2) .. Use separation of variables to find the general solution.   dy dt − 12t3e−y = 0.

A: Answer: The solution is as given below:

Q: Use the backward Euler method with h = 0.1 y'(t) + 1000cos(y(t))-100t = 0 y(0) = -0.5   find y(2)

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Q: Solve the given PDE with condition U (0,t) = 0; U (5,t) = 100; U (x,0) = 20; taking h = 1 and…

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Q: 1 y" – 2y' + 2y y(4) = 0, 3 (4) = 0. -

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Q: Let y(x) be the solution of y' = y − 4x such that y(1) = 1. Using a step size of 0.5, set y0 =…

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Q: Find a fourth order homogeneous linear ODE with solution x(t) = 3t² – 1+6e¯4. -4t

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