# Consider the system of differential equations

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## Systems of Differential Equations

The next step is to slove the last equation you have: with the ansatz that You quickly find that and since the equation in linear the general solution is the arbitrary llinear ## Systems of linear differential equations (Sect. 7.1).

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

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## Chapter 6 Linear Systems of Differential Equations

System of differential equations In mathematics, a system of differential equations is a finite set of differential equations. Such a system can be either linear or non-linear. Also, such a system

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## Solved Consider the system of differential equations

We will also look at a sketch of the solutions. Example 5.2.1 Consider the system of differential equations x ′ = x + y y ′ = − 2x + 4y. This is a system of differential equations.

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To determine what the math problem is, you will need to look at the given information and figure out what is being asked. Once you know what the problem is, you can solve it using the given information.

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