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Thread: Help with solving an equation
 04242017, 08:43 AM #1Member
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Help with solving an equation
I wanted to find all of the solutions to sin(x^2)  cos(x^3) = 0 for 0<= x <= pi and have this program. I used the bisection method to find the first solution but obviously I want to find the other solutions as well. How can I modify it to display other solutions in addition to the single one it gives me?
Java Code:public class BisectionEquation { public static void main(String[] args){ // error margin final double step = 0.0000001; // variables double begin = 0; // range from 0 to pi double end = 3.14159; double mid; double midFunc; double beginFunc; // bisection loop to find result while ( (endbegin) > step ){ mid = (begin+end)/2; // middle value (halfway between begin and end values midFunc = Math.sin(mid*mid) Math.cos(mid*mid*mid); // function values at begin and mid beginFunc = Math.sin(begin*begin) Math.cos(begin*begin*begin); // if solution is between beginning and middle if ( (midFunc > 0 && beginFunc < 0)  (midFunc < 0 && beginFunc > 0) ){ // Set the new end as the middle end = mid; } //if solution is between mid and end else{ begin = mid; } } //prints the solution System.out.println("The first solution of x: " + (begin+end)/2 ); } }
 04242017, 01:05 PM #2Member
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