Without solving the given initial value problem find the possible largest interval for its solution S ry" – x²y' + y = In (1 – In z) y (4) = 2 A) (0, 00) B) (0, 1) C) (e-1, e) D) (0, e) E) Ø

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Q: Obtain the particular solution satisfying the initial conditions indicated.

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Q: a CAS to solve the initial valuePlot the solution curves. y'' = 2/x+ 2x, y(1) = 0, y'(1) = 0

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Q: Solve the initial value problem Ut + 2uz = 1, x € R, t e R u(0, x) = e¯*, x € R. %3D

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Q: x(1+ y³)dy + ydx = 0 ;y(1) = 1 Ans: In(xy)³ + y3 = 1

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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.