$\frac{\mathrm{d} y}{\mathrm{~d} x}$=$\sqrt{x} y, \quad x>0$, y>0 $\text { where }$ y(1)=4 .
1. Use Euler's method with a step length of 0.25 to fill in the following table, rounding each value to two decimal places.
When x is 1.25 , y is ;When x is 1.50 , y is ;When x is 1.75 , y is ;When x is 2 , y is ;
2. Solve the differential equation.
3. Hence, find the exact value of y(2) to 2 decimal places.
4. Calculate the percentage error in the value of y(2) found by using Euler's method. Give your answer to 2 significant figures.
ϵ≈ %
