How to Solve nonlinear system by newton method?

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Newton method for nonlinear system

Use Newton’s method (and indicate each successive approximation) to solve the nonlinear system below for $x_1$ and $x_2$ both near $0.6$: $$x=\sinh⁡(y)\\ 2y=\cosh⁡(x)$$ I found the Jacobi matrix, found it's inverse and used the formula: Xo-inverse of $jacobi^{*}f()$ and tried to iterate, but I am no where close to the answer. The answer given is $x=0.6000,0.6367,0.6281,0.6424,0.6389, y=0.6000, 0.5927 0.6048,0.6019,0.6068$. Could anyone please help me out?

Answer:

I suppose that you considered two equations $$F(x,y)=x-\sinh (y)=0$$ $$G(x,y)=\cosh(x)-2y=0$$ So, expanding...

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user3281911 at Mathematics Mark as irrelevant Undo

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Looking to solve a system of nonlinear equations using the newton-raphson method.?

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Since you looking for points where y = 3x + 3, can't you just seek the roots of f1(x) = x^2 - 3x(3x...

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Answer:

In the Substitution Method, we isolate one of the variables in one of the equations and substitute the...

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Anonymous at ChaCha Mark as irrelevant Undo

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You have to multiply both sides of the equation or else it is no longer an equivalent statement. -1...

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I don't have access to maple at the moment so I can't give you the answer as I'm not going to spend...

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Solve the nonlinear system of equations?

x^2-3y^2=1 4x^2+3y^2=19 Answers are ((2,1),(2,-1),(-2,1),(-2,-1)) I think it's possible to solve using the elimination method but I'm not 100% sure

Answer:

add them and solve for x...for each x value there will be 2 y values....don't forget that √x&sup...

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QYEEJ77KZ4XOMVHVHCY43XXA4Q at Yahoo! Answers Mark as irrelevant Undo

I need help on Algebra 2, "Solving Nonlinear Systems" substitution/elimination?

Solve each system by using the substitution method. 2x^2 - y^2 = 14 y - 2x = -4 i looked in the back of my Algebra 2 book and the answer is x = 3,5 y = 2,6 when i tried to solve it, i ended up with -2x^2 - 16x + 2 = 0, i dont know what to do after that...

Answer:

2x^2 - y^2 = 14 y - 2x = -4 Solve the second equation for y by adding 2x to both sides: y = 2x - 4 Plug...

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How do I use the Newton-Raphson method for an implicit /explicit finite difference method with nonlinear boundary conditions?

I've built the Crank-Nicolson 2D matrix for the heat equation, and I have discretized my nonlinear BC. I have to combine both and equal them to zero, find my jacobian and do my iterations. However I am confused by the implicit (t+1) terms in my equation...

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Without knowing the details of your problem it is difficult to be very explicit but in general you can...

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