MTH 311 Lecture 7: Chapter 4.1 DE’s

• School: University of Miami
• Department: Mathematics
• Course: MTH 311
• Professor: Galloway Gregory

Document Summary

Higherorde. ir inearde"s1storde ria. cxddy aocx7y glx fndorderlinear. az x 4,2 a. nl tdolx yglx. 3rd0rdevlineariaslx7dd3xy azlx7gfyyt a modify dogy gud a lx y t a x y ta. 2nd order x y g t examplesof 2ndorders. Itv y t3xy smx y e a glx a a linear y t3y 2y sin 2x constantcoefficient. Xy t y y 13 2y notlinear any x nonlinear. Ivp aux y ta x y"t a ex y g x solution willtypically dependon 2 constants. Y xo c ex yi y o o execs y c cosx thanx claim y cosx isthisasolution ay ay 6 wax w l y. Considertheivp army tailxly"taolxly gu yexo co a y xo. 1 az x a x atx are continuousfunctions. The 1vpc has a uniquesolos y cosx sinx y cosx y cosx cosx o o o y 1 x o x o yi o cosco i. Sinco o y cx txt 3 pg118 checky solves de forany c.