The general solution of the linear system y' = Ay is y(t) = [[e^{t/3}, 0], [0, e^{t/5}]] [c1, c2]. Determine the constant coefficient matrix A. A =
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We can do this by taking the derivative of et/3 Yt) and setting it equal to 7 times Y: d/dt (et/3 Yt) = (1/3)et/3 Yt + et/3 Y't 7Y = Ay Substituting the given solution et/15 and its derivative into these equations, we get: (1/3)et/3 Yt + et/3 Y't = Show more…
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