Two linearly independent solutions of the differential equation y" - 6y' +9y = 0 are Select...
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
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*
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-*
Select all the answers that are solutions of the differential equation y" - 6y' +9y = 0 sin(x)e! cos(x)e xet sin(2x)e cos(2x)e sin(3x)et COS(3x)e G. I - xe-* Y 000 OOOOOOOOOOOOOOOOOOOO sin(x)e-* cos(x)e-* sin(2x)e-* cos(2x)e** sin(3x)e* cos(3x)e-* N. 0. P. Q. cos(3x) DR. xe s. sin(x)e3* T cos(x)ex OU. sin(2x) V. cos(2x)e3- w. sin(3x)e> LX cos(3x)e 3
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 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
Solve the given differential equation by undetermined coefficients. y'' + 6y' + 9y = −xe^6x
9. specify which letter answer a two lirearly independent solutions of the differential equation y"-1441-494-0 ore af y, =ė? .Yz-Xerx UX b) y, = e 1 Y2 = xex YZ = Xe²7 6 yi=ex d) es vize" Yo = ex Y2 = ex 77 1 Y = e-7x
4. Consider the differential equation y' - 6y' + 9y = 4e3t a) Find the general solution of the differential equation. b) Solve the IVP: Y" - 6y' +9y = 4e3with y(0) = 1 and y'(0) = 10.
The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, 0). Find the general solution of the given nonhomogeneous equation. *?y" + xy' + (x2 - 1)y = x3/2; Y1 = x-1/2 cos(x), Y2 = x-1/2 sin(x) y(x) =