Question

Q2: Find a general solution to the differential equation 3y" (e)3y(e) csc3 (e) SC =

Answer 1

csC'e 3y"e) dg dgi 3 y +3 3 cse'g CSC O 3 de 3 +3y Comfementay Solution Co)y0 pusil ay Eqation 3 0 of Souiod the form riiq Cre -2 Ci Cost tin C Cos solutlon are i CDS COJ Wronkskaln w) Cas

From Method vaiat len of aametos (eco) t Selution whute ALO) de WLO de wLe) Whore QL) 3 scO de ALO= de 0(3 A CO cot e S- csC de COS9 de 3) cotg cSCco de 1 COSO ep 3 Let du dv case 3 J3 du 3 3 U3 (6)

cote yo)= CDS& .CscO COSO. Coto Ci CoS 3 C2 SinO gco)= Ci cOs +Csihe 6 3sin sine C COS (9 + 3 Sin 19 C COS O+I csco CSCO =CCOSO