How do I write matlab code for solving the following equation ?

As we have been provided the y in terms of vector. How can we solve the vector x for corresponding values of y? Please help.

y=0:1:10;
y=x-sin(x)/sqrt(1+sin(x));

Answer 1

[Mischa Kim]

Pawan, you could do

 syms x
 y = 0:1:10; 
 for n = 1:numel(y) 
    yn(n) = vpasolve(y(n)-x+sin(x)./sqrt(1+sin(x))==0);
 end

Note, that there are numerous solutions for a particular y-value.

[pawan]

Thanks Mischa. But could you do without having symbolic function by assuming any initial value of x say ,0.0001

[Mischa Kim]

Sure, again, there are multiple solutions, which you will find depending on the starting value.

 y = 0:1:10;
 for n = 1:numel(y)
    yn(n) = fsolve(@(x) y(n)-x+sin(x)/sqrt(1+sin(x)), 10);
 end

Answer 2

[Image Analyst]

If you want to do it numerically, how about

x=0:1:10;
y=x-sin(x)/sqrt(1+sin(x))
plot(x, y, 'bs-', 'LineWidth', 2);

% Try to find x for which y = 5.
desiredY = 5;
[minDiff, desiredXIndex] = min(abs(y - desiredY))
hold on;
plot(x(desiredXIndex), y(desiredXIndex), ...
  'r*', 'MarkerSize', 15, 'LineWidth', 2);
grid on;