- #1

ver_mathstats

- 260

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- Homework Statement:
- Find the solution (x(t),y(t)) to the system.

- Relevant Equations:
- dx/dt = -2x, dy/dt=-y+x^2

I have my set of differential equations which is dx/dt = -2x, dy/dt=-y+x

I thought at first I would differentiate both sides of dx/dt = -2x in order to get d

Any help would be appreciated on how to start this problem, thank you.

^{2}, with the initial conditions x(0)=x_{0}and y(0)=y_{0}. I'm a little confused about how to approach this problem.I thought at first I would differentiate both sides of dx/dt = -2x in order to get d

^{2}x/dt^{2}= -2, and then I would substitute this into the other equation but I don't really know if this is the right approach and I am a little confused. Or would I just solve for x in the first equation and then substitute?Any help would be appreciated on how to start this problem, thank you.