2. In the differential equation below, x = 0 is an ordinary point. Find two power series solutions of the equation. Find only the first four nonzero terms of each series. Form the general solution to the equation. у" + у' - ху %3D 0

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Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Check the following: x + 3x = 5+1² x + 3t²x = 5 3x + 7x +…

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Q: 9. Solve by using Laplace transforms: ƒ(t) = 3t² −e¯¹ – } e² ƒ(t–t)dt. 0

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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.