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dx/dt = -k1 (y)

dy/dt = k2 x

k1= 10 k2= 10

These are the conditions:

x(0)= 100

y(0) = 0

I am so confused.....This is what I have done so far....but is not making any sense...

x= (dy/dt) (1/k2)

Substitute in:

d2y/dt2 = -100 y

So the solution is

Y= c1 cos 10x+ c2 sin 10x

I don't know how to use boundary counditions now....Is this even a right approach?

Thank you so much