Consider the linear system of differential equations: x' = x+ 3y y' У %3 16х — у. (a) Find the eigenvalues and eigenvectors associated with this system. (b) Write down the general solution of the system. (c) Find the equilibrium, classify it and determine its stability. (d) Find the particular solution that has initial pointx(0) = 10, y(0) = -8.

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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.