Consider the linear system: dx/dt = 2x + 6y dx/dt = 2x − 2y (a) Determine the type of the equilibrium point at the origin. (b) Calculate all straight-line solutions.

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A: Laplace transform  Partial fraction  Inverse Laplace transform

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.