Evaluate using Runge-Kutta methods. Unless otherwise mentioned, use fourth
order R.K. method....
1. Find y (0-2) given y
dx=y-x,y (0)=2 taking h= 0:1.
dy
2. Evaluate y (1-4) given x+y₁y (1·2) = 2.
3. Obtain the value of y at x=0-2 if y satisfies
dy
-y=xy (0)=1 taking h=0-1.
dx
4. Solve
dy
=xy for x= 1-4, taking y (1)=2, h=0-2.
y-x
y+x
6. Solve the initial value problem
5. Solve: y =
given y (0)= 1, to obtain y (02).
Sonnned with Cam Sonnnar