Math Is Fun Forum

Hi i dnt knw anythin abt Numerical Soln  of ODe's... ive gt an assignment n it, ive tried a book by kreyzig... bt i still cnt understand a thing... could any1 plz help me??

here are the questions:

1. Consider the IVP given as y' = t - y^2, y(0) = 1

Find y at t = 0.3 using h = 0.1 by using the
(1) Euler Method.
(2) Taylor Series Method of order 2.

2. Consider the IVP y' = t +y, y(0) =2
Find y(0.2) by using the FOrward - Euler Method by using

(1) h = 0.1
(2) h = 0.05

Compare your results with the exact solution and draw your conclusion

3. Consider the IVP y' = -y, y(0) =1
Find y(0.2) by using the Runge - Kutta Method with h = 0.1

4. Consider the IVP

y" - 2y' + y = t

y(0) = 0 , y'(0) = 1

Find y (0.2) by the Forward Euler Method using h = 0.1