## Problems on Numerical Technique - II

**Problems on Numerical Technique - II:**

**Example-1 **find from the following table, the area bounded by the curve and x-axis from x = 7.47 to x = 7.52

**Solution:** We know that the required area under curve would be

With h = 0.01, The Trepezodial Rule

gives;

**Example-2** Use Picard’s method to approximate the value of y at x = 0.1 given that

**Solution:** Given dy/dx = y−x/y x Hence Picard’s Iteration equation is

which gives First approximation

Second approximation;

which is quite difficult to integrate. So we stop our process here. We use only first order approximation. By putting x = 0.1