A uniform beam of length L carries a concentrated load wo at x = L. See the figure belov 2 beam embedded at its left end and free at its right end Use the Laplace transform to solve the differential equation woolx -), 0 < x < L, EI- dx 4 subject to the given boundary conditions. y(0) = 0, y'(0) = 0, y"(L) = 0, and y"(L) = 0. %3D y(x) = +

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Q: dc = c³ In(t) dt c(e?) = 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.