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Solving a systems of differential equations in terms of x(t) and y(t) 
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#1
Feb2212, 12:50 AM

P: 49

1. The problem statement, all variables and given/known data
x' ={{1,1},{4, 3}}*x, with x(0) = {{1},{1}} Solve the differential equation where x = {{x(t)}, {y(t)}} 2. Relevant equations 3. The attempt at a solution I have e^t*{{1},{2}} + e^t*{{t},{2t+1}} but I'm not sure how to get it in terms of what it's asking. Edit: Please quick if you know how to do it. It's due at 4 AM :/ Crazy week on my end. 


#2
Feb2212, 03:06 PM

P: 312

x'=Ax is solved by solutions of the form x(t)=x0e^{λt} where x0 is some initial vector, not the form you gave. You need to find out x0 and λ. I've seen this question quite a few times recently



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