Solve for xt yt the system of initial value problemsSolution

Solve for x(t), y(t) the system of initial value problems:

Solution

y\' - x = 0 (1)

y + x\' = t (2)

So if x when t = 0 ---> 1 and y = 0, then:

For t = 0:

y\' - 1 = 0 ----> y\' = 1

0 + x\' = t ----> x\' = t = 0

This means that x\' = t so, all you have to do is put some values of t (like 0,1,2) so you can get y and x.

Hope this helps