Steps for anlvlng a separable aquann 9M 14\" = 11:}: . Rewrite in differential fem: 3ny y =x} (it . Integrate each side: Ig(y]a}' =If(x}:it . Findantiderivatives ufgandf. GU} =F[x] +{G'=g andF' =f] . If an initial 1Imlul: {xmyg} is given, put the values fang aadyg into F and G and salve for C. . If possible, expliei}? salve ary. Solve the fulluwing differential equanna algebraically {15 32}. 15. E2 16. d_y=x2+9 d: d: a? '1'" 11'. =4 Ill. =2 a: y a: y at? d.\" I 19:. "'= 2\". '= d): I? d: y dy '1'" 11-. : +1 21i- : - d: J' at: 31' J\" 23. y'= 24. [12+]}y'=xy 15" =ErFy 16" =nry d: d: 3"" dy 1 '3'? 1 2-?- = In, : dx may d: y-3 29. 2 3n. '1'": y d: y d: 24; 31. Iy'=y+3 32.. y'msx+e'siax=ll