Consider the following. x' = 6x – 10y y' = 10x – 6y, X(0) = (6, 10) (a) Find the general solution. (x(t), у(t)) 3 Determine whether there are periodic solutions. (If there are periodic solutions, enter the period. If not, enter NONE.) (b) Find the solution satisfying the given initial condition. (x(t), у(t)) 3

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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.