Are fi(*) e" cos(2a) and J2(x) e" sin(2x ) solutions to the differential equation y" – 2y' + 5y U on the Ihterval (-00, 00)? A. No B. Yes Are fi(x) = e" cos(2x) and f2(x) = e" sin(2x) linearly independent or linearly dependent on (-o, 0)? O A. Linearly dependent B. Linearly independent Do fi (x) = e" cos(2x) and f2(x) = e" sin(2x) form a fundamental set of solutions of the differential equation y" – 2y' + 5y = 0 on the interval (-00, 00)? O A. Yes B. No

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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.