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picture1_Week7 Item Download 2023-01-31 03-07-18


picture2_Week7 Item Download 2023-01-31 03-07-18 picture3_Week7 Item Download 2023-01-31 03-07-18

 76x       Filetype PDF       File size 0.16 MB       Source: www.ucl.ac.uk


File: Week7 Item Download 2023-01-31 03-07-18
CHAPTER5. DIFFERENTIALEQUATIONS 53 Example 5.5 (Beam Equation). The Beam Equation provides a model for the load carrying and deection properties of beams, and is given by ∂2u &part ...

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...Chapter differentialequations example beam equation the provides a model for load carrying and deection properties of beams is given by u c t x but you won see them in this course ll have to wait until maths engineers math that first order separable odes an ode dy f y isseparable if we can write g some functions dx isnot find general solution ydy separating variables xdx i e k which describes family ellipses wecan check our di erentiating yy ln use log loga logb b or ec again easily using erentiation solve arctany tan once checked exam question nding explicitly thus integrating gives integrals partial fractions lny lnx let then kx explicit xy arctanx linear aside exact types type where lhs erential derivative product xdy ex d exeydy exey recommend bear mind as proceed are equations may be written form p q ycotx cosecx tanxdy extanx cotxy not big multiply function will make it s suppose call factor thenmultiply both sides byi idy ipy iq exacttype compare with iy idx dxy hence require di...
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