Use the integrating factor method to find y solution of the initial value problem ty' = 2 y – 4t cos(4t), = 0 t > 0. (a) Find an integrating factor µ. If you leave an arbitrary constant, denote it as c. u(t) : Σ (b) Find all solutions y of the differential equation above. Again denote by c any arbitrary integration constant. y(t) = Σ (c) Find the only solution of the initial value problem above. y(t) = Σ

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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.