Engineering Analysis Notes, Lecture notes of Engineering Analysis

course notes for Engineering Analysis

Typology: Lecture notes

2017/2018

Uploaded on 08/04/2018

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Teseah x bsfrole Secor 32 (emt A) le Derivah on of formule S - SP@) dx y= \ Sa * (5) % where y, isa geltior to an ODF of the Plx) y' + Qlx)y =O farm y" + acd Yo os alse a goletion, Unewly independent of y-, formula, etact by As OrTiry ( nut « cons tact, Lt y and Vo, l e, ye) = atx): V, Gx) To derwe the [o Fone Yo = 4Y, fT pome hactm of Ay | ExreLe 2 Iv (PARALLEL Cp. 117) Sos , Plx) : K . ya PY € alixy =O 1 Oey Hays wee yen ad we want fe Ard Ye such thet Find yu geck that 4 . yi -Zy, * E.y. = 0 ig PGdys + 24) %e = O 2 bot Yo = uy, 7° t « Peedlen) * SEY je oy! t ry! fay )"=(uy)) Hey #0) ae se) +) ele “2 at! + acy,’ € u‘y' + ay, = uty, ¢ 2u'y,ieuy,” + Plsdfu'y, tu i") Reavranging Wt “peste wade ° uty, + a\(2y/+ Py, ) + u(y + P(xdy, +Qy, ) -O Z pot THIS MUST BE O BEA vse ¥, 16 A SOLETIOW TO y“+Py'eQy =O ! ot yz = uy, = Ux ° ( fi ial - & laxt)' + Faw =O S , , ux” 4 al(26)— Pec) (xD SG) 24x) 70 peT THU MUST BEO BECAYSE y,=x~I5 A SOleTlow FO Mt Py tQy=0 t check: (x) "=(Qx) =2 - 2- Bian ttf tQhduy, 20 fu deri vahves :