MATHS 2106 Lecture Notes - Lecture 3: Fairy, Order Of Merit, Integrating Factor

• School: University of Adelaide
• Department: MATHS - Maths & Computer Science
• Course: MATHS 2106
• Professor: Benjamin Binder

Document Summary

I order odes: 1 : - separable 1st order odes. Yy = - e" + c y - eat: 2 : - linear. Diy e- iron) multiply both side by i to get this results. I=ehdk=e" fdkdnag. f. ae" edy = fae " let u-onz. dtzd-zagdha-dx-fxeudy-zk-tzf. eu. 22 y= { + ce: 3 :- substitution. I g : - y = aucn, y. Yu -_ lnlnltc u= - 1n1 tc y -_ kulm. Ucr , yea) - c implicit form: 4 . = (gay - y3) + (3m - 3 ny"t 4 g) y. Gi -iffy d =o du = # dsetdouy dy -0 check notes& " da + guy 2+1) dy = 0 y. M = y3: check that egn is exact : . My_ =3 y (cid:15482) dotty = 8dg , %a=m=y3 , dfg = n =3ng"t i f =fy3(cid:15482)u=fy3dx=xy3tf be partial derivative du. Cy ) =3 partial der. wrt y f- " (g) =/ (cid:15482) f=y + k.