a) Find the initial value problem of the system of linear differential equations: [1 -3] x'(t) = 3 х, х(0) — 2 1 b) Describe the behavior of the solutions as t → 00.

Q: Solve the differential equation by using an integrating factor: y+(4+2) y = 0, y(1) m 9

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Q: Consider the differential equation: y''+12y'+36y=-2x2-4e-3x. Apply the method of undetermined…

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Q: Find general solutions of the differential equation

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Q: 6. Solve the system of linear differential equations 200-30+ [2] []+ (t) =

A: According to the data, find the general solution of given IVP.

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.