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) = +

Q: Determine whether the Theorem 1.2.2 guarantees that the differential equation y' = = Vy2 – 9…

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Q: 12. Sketch a direction field for the differential equation y' = xy+y, from -4 to 4. Then use it to…

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Q: Given the differential equation y"+ 5y' – 5y = 0, y(0) = - 1, y'(0) = 2 Apply the Laplace Transform…

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Q: Solve the system of first-order IVPS using Laplace Transform: x' = y x(0) = 2 y' = - y(0) = –1…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: We can transform the equation y'+x3y=(sin(x)/sqrt(y3)) to a first order linear differential equation…

A: Given equation is: y'+x3y=sinxy3

Q: у" — 5у" + 7у' — Зу %3D 20 sin(t) , У (0) — у'(0) — 0, у"(0) %3D —2

A: Consider the provided question, We have the find the solution of the given D.E by using the Laplace…

Q: The motion of a mass-spring system with damping is governed by y''(t) + by' (t) + 36y(t) = 0; y(0) =…

A: y''t+by't+36yt=0y0=3y'0=0b=10

Q: y" + 4y" + 9y' + 10y = e-dsind y"(0) = y'(0) = y(0) = 0 %3D

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Q: 1. Express the general solution of the given differential equation on the interval (0, 0) in terms…

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Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

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Q: Can you explain how they calcualted the A B C values in more depth

A: Check the image below for the detailed procedure.

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.