Practice problem of differential equation, Assignments of Differential Equations

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sin O20 «1-26 cos © 38 a (One. /, ws0 3 sin’ Geer ——+ (2 ot O)r= ~ ( )r eon! Apply the ina achor 4p ty. 1 sin® os + 2sin B tos Or mae ae a eS sit*Q = -sin © ~ (r sid* B) - -sin © tq2 I2. (2x*-2xy -y Jax + xydy =o Soba on The weficitts are both homegenoys, and OF degree 2m x and y, (axt - dy ~y) ox 4 xydy =0 d xy = + Ix*= Ixy - W=0 S42 (8) (2)=0 Pat yong, 22 = vex Sin I xiv at-2-v=0 vt ag Vv peewee gat dx i dv al xW <7V: Char Wh )av = dv+ 9v = 3x wo egrating factors, erSeot odo. etn (smo) e*Seot 840 — ein (sin*®) eat Be = an Wega. to |. 2 ak Tan'® = - Fein BSB 40 r= cok B cosecB + © wsec © = eos \ (sin ®) Gn 8 (and) a@ SinB Inegrae equation , Save fe en xe Veln (v-1) =n xre pal (4-1) -inxve Wtxln (u*) =X [pet XC ' Ythn (yx lqxt = We txe