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1. Consider the initial value problem dy/dx =3cos(x^2) with y(0)=2. (a) Use two steps of Euler’s...

1. Consider the initial value problem dy/dx =3cos(x^2) with y(0)=2.

(a) Use two steps of Euler’s method with h=0.5 to approximate the value of y(0.5), y(1) to 4 decimal places.

b) Use four steps of Euler’s method with h=0.25, to approximate the value of y(0.25),y(0.75),y(1), to 4 decimal places.   

(c) What is the difference between the two results of Euler’s method, to two decimal places?
  
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