Consider y = cje2* + czesa + 4e" and the differential equation y" - 10y' + 16y = 28e". Which of the following best describes y as a solution to this differential equation on the interval (-0o, o)? O A. y is a general solution, but not linearly independent O B. y is not a solution OC. y is a two-parameter family of solutions, but not general OD. y is a general solution

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Q: 3.) у" - 4y' + 4у %3D (х — 3)е2х 4.)у" + 16у %3D 16tan4x

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Q: –7 + 12 d5x 7) 25 d*x -7- dt5 d²x + 12 dt3 + 8. = 0 dt4 dt2

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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.