Give the general solution of the set of equations below:(adsbygoogle = window.adsbygoogle || []).push({});

x'=5x-2y+3z

y'=y

z'=6x+7y-2z

Which I found to be:

x=3C1e^7t-3C2e^t-C3e^-4t

y=6C2e^t

z=2C1e^7+8C2e^t+3C3e^-4t

Here's where I'm stuck. They want me to find the solution at t=0, (x,y,z)=(2,3,-1)

Which the professor hasn't told us how to do this.

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# Homework Help: Finding a solution at a point

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