Systems of Differential Equations Systems of differential equations Homogeneous Linear ODE systems with the eigenstuff method Initial value problems and sketching in the plane Euler's

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526 Systems of Diﬀerential Equations corresponding homogeneous system has an equilibrium solution x1(t) = x2(t) = x3(t) = 120. This constant solution is the limit at inﬁnity of the solution

that a system of ﬁrst order equations is always equivalent to a higher order system. 3.1.1 Writing a higher order equation as a system of ﬁrst order equations It’s almost always easier to work