How to solve the non linear equations in matlab | fsolve | fval

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good evening my name is Athena and welcome to urban school please visit us at www.virtru.com to equations 2 X 1 minus X 2 is equal to e raised to the power minus X 1 this is the first equation and the second equation is minus X 1 plus 2 X 2 is equals to e raised to the power minus X 2 so its quite its a nonlinear equation and its very easy to solve in MATLAB so lets see how we can solve it now there is a direct function in MATLAB called F solve which can give the value of these kinds of nonlinear equations or without any solving without showing you the internal steps with the given tolerance value and the other options so I will explain each option of one by one in

the very first step you need to rewrite your equations and make them eg commute the each equation equals to 0 now this will be the standard form when we solve the nonlinear equation with the help of F solve in MATLAB so in this case the equations will become like curve 2 X 1 minus X 2 minus e raised to the power of minus X 1 is equals to 0 and the second equation will be minus X 1 plus 2 X 2 minus e raised to the power of minus x 2 equals to 0 now we also need to define a particular range of the solutions in which we need to find our solutions for these values X 1 and X 2 so in this case lets start we have a searcher all range

here lets say -5 to 5 minus 5 and minus half for each now to start with MATLAB open a new page here it is the new page your function function f is equals to my function lets say my phone some variable X now we need to write the equations of what we solve you what you want to solve here so here these two equations twice of X 1 minus X 2 minus a exponential of minus X 1 and the similar equation with the separated by a comma semicolon or then minus X 1 plus twice of X 2 minus exponential of minus X 2 is equals to 0 so these two equations are here and I need to solve them so I will store them with the function with a name my just say

my fun dot M I guess I have already a file yes I want to replace it okay thats it right now come back to the command window clear the screen now first of all define your function the range that is minus five minus five for both then repeat a function f solve and mention here at my function which was stored as the my fun dot dot dot M and start with the value of the X is zero so it should give the answer and here is the answer minus 0.5 six seven one and minus point oh sorry Oh point five six seven one and point five six seven one for both so in this way you can solve the nonlinear equations in MATLAB there are a few more options like if you use

X comma F a value of the function at the particular value of the X it will give you the value of the function also so lets try with this sorry Ill explain this what is this options later on so here is the value of the X and here is the value of the function or just a second go down here it is so you can see the value of the X is here and the value of the function at that particular value of the X is given here for both the x1 and the x2 so in this way you can solve the equations the nonlinear equations in MATLAB with the help of the function f evaluate so thats it for this video I will explain though other related things of this particular function f

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