p1 (with handwritten solutions pls)

4y" + 7y' + 9y = 30 0" A. y= [C, cos (95 x )+ Ce sin ( Ex ) Je + ex By= [C, as ( # x ) + C, sin ( x )ex + ie cy - C, cos ( THE x ) + Cz sin ( # x ) ] e" x- 4 D. y = CICDS ( THE X ) + Casin(Ex )ex O A O B O c OD * Dy - 40 2 y - 60 Dy + 288 y = cos ( 3x) A. g - C, e- * + Czebox + Caex - zig sin ( 3x ) + 43 co s (Bx) B . y = Cie * + ( C z + Cox ) ex - - 16425 sin (ax) + Tear- cos (3x) C. y= Gex + Caxex + Ce ex -12 , cos (3x) - 27 sin(3x) 17 cos(3x) - 19721 5 sin (3x) 3217dy + 3dy 53 dy - 60y = 0 dx4 dys A. y= C,e + Cze"* + [ C, cos (x) + CA sin(x) ]e-2x By = Ce* + Cze" + Coxe x + Caxzed C. y = Cre* + Cret + [ Casin (x) + Ca cos(x) Je x D. = C1e- 3X + ( Cz + (3x ) (* * + Cye- 2x O A O B O c O D