Need help in solving transcendental equation.

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bandikotireddy

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My equation is like this,
tan(x)*tan((y/1-y)*x)=5. I need to solve for x as y is varying from 0 to 1.
please help me.
 

You can use the Netwon-Rapshon method that is very easy to implement.
I coded it with Scilab:

Code: 
function z=H(x,y), z=tan(x)*tan(x*y/(1-y))-5, endfunction	// Function  to be solved

eps=1e-4;			// Wanted accuracy
i=1;

for yval=0.01:0.01:0.99,	// y variable SPAN

	x0=0.1;  		// first guess

	while abs(H(x0,yval))>eps do	// Iterate until the solution is inside the accuracy

		x0 = x0 - H(x0,yval)/derivative(list(H,yval),x0);
	end

	solution(i,1) = x0;	// Solution x
	solution(i,2) = yval;	// relative to this value of y
	
	i = i+1;	// increases index
end
 
try to use Wolfram Mathematica
for example look - for y(x)=sin(x):
http://www.wolframalpha.com/input/?i=solve%28+tan%28x%29+tan%28%28sin%28x%29%2F%281-sin%28x%29%29%29+x%29-5+%3D+0%2C+x%2C{0%2C1}%29
 

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