For an infinitely long conducting cylinder of radius a, with its axis coincident with its z-axis, the voltage u(r, 0) obeys the Laplace equation v²u =0, Osrs0o, 0s0S 2n Find the voltage u(r, 0) for r2a if Lt u(r,0) = 0, subject to the condition du 2sin 30 dr а

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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.