9. specify which letter answer a two lirearly independent solutions of the differential equation y"-1441-494-0 ore...
10. pleaae show all work and specify which letter answer cs Vi=est Y2= xet 10 Two linearly independent solution of the differential equation Byl + Syl-zy o are a) y = e 6x b) yi-e6x Y2=ex d) vize ed y,=(2x 192 Y = e2x Ya=est
Two linearly independent solutions of the differential equation y''+4y'+4y=0 are of Two linearly independent solutions the differential equation are 2x y,=e Y2 = e 2x / - 2x 6 Y,=e 92= xe 2x @g, = e - 2x -2x , 92= xe 2x y = e 2x Y 2 = xe²x e 9,=02x 1 Y 2 = e- 2x
Two linearly independent solutions of the differential equation y" - 6y' +9y = 0 are Select the correct answer La. V1 = em y=xe-3x b. V1 =ex, y =xe3x Lc. Vi=e- cosx, y =e-3x sinx d. Y1 =-3x, e. Yi = e3-cosx, yı = e3* sinx 22=xe-3x
6. specify which letter answer Y2 = it has gereral solution? ssole differential equation y = et ? by separation of variables a) y = + Y + c 4X c) y=4e y 3+C 4 4x4 b) y = - - - © y = 46 (2x) +C e + C ddy- celky ux
Two linearly independent solutions of the differential equation y" - 5y' + 6y = 0 are Select the correct answer. a. Y1 = 62, y2 = 232 b. Y1 = 0 -6x, y2 = e** c. Y1 = e-Gx, y2 = et d. Y1 = 0-2, y2 = 2-3x e. Yi = e6x, y2 = e-*
Three linearly independent solutions of the differential equation y'"' - y" - 6y' = 0 are Select the correct answer. a. V1 =e-6s, y2 =xe-1, V3 =1 b. Y1 = 224, y2 = 2-3x, y3 = 1 c. Y1 = 2-6x, y2 = e", y3 = 1 d. Y1 = e3x, y2 = 2-2*, y3 = 1 e. Vi=e , y2=xe-1, V3=1
11. please show all work and specify which letter answer If one solution of the differential Y"+2ylty=0 is yi=e* Use method of reduction order (lety-oy), a second linearly independent solution is a) y = et c) y=xe* e) y e* 6) y=xe d) y=c
Two linearly independent solutions of the differential equation y" + 4y' + 5y = 0 are Select the correct answer. a. Y1 = e-cos(2x), y2 = eʼsin (2x) b. Y1 = e-*, y2 = e-S* c. Yi= e-*cos(2x), y1=e-* sin(2x) d. Y1 = e-2xcosx, x, y2 = e–2*sinx e. Y1 = e', y2 = 5x
Two linearly independent solutions of the differential y" - 4y' + 5y = 0 equation are Select the correct answer. 7 Oa yı = e-*cos(2x), Y1 = e-*sin(2x) Ob. Y1 = et, y2 = ex Oc. yı = e cos(2x), y2 = e* sin(2x) Od. yı=e2*cosx, y2 = e2*sinx Oe. y = e-*, y2 = e-S*
14. pleaae show all work and specify which letter answer 14 Giren two linearly independent solutions ye Y = xe of yl-2y ty=0, use the method of variation & Of parameters to find a particular solution of Y"-2y't y=e² -as yp= b) yp= dJ e) y.p = c) qp = X 4 2 xé X Yp=e z