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ns (7 pts) Find two linearly independent solutions of y' + 4xy = 0 of the...
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''+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
ra17070309238key 7RyEosqso4T Mat int) Find two linearly independent solutions of 2x2y"-xy' + (-6x + 1)y--0, z > 0 of the form where ri T2 Enter T2 b2 ra17070309238key 7RyEosqso4T Mat int) Find two linearly independent solutions of 2x2y"-xy' + (-6x + 1)y--0, z > 0 of the form where ri T2 Enter T2 b2
(1 point) Find two linearly independent solutions of 2.2 y" – dy' + (-6x + 1)y = 0, 3 > 0 of the form Y1 = " (1 +212 + aza? + a38° +... Y2 = 2"? (1 + b 2 + b2x? + b3x3 + ...) where ri > 12. help (numbers) help (numbers) help (numbers) help (numbers) help (numbers) help (numbers) help (numbers) help (numbers)
Given two linearly independent solutions yı=e, y = 4x of y" - 3y' + 4y = 0, use the method of variation of parameters to find a particu "-3y' - 4y = 24 Select the correct answer.---Submit your work when you complete the test. b. Y* 7 c. 3p = x et d. &p=g e. Yp 5
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-*
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
4. given that yı = is a solution of the homogeneous equation. (1 + x2)" + 4xy' + 2y = 0 (a) Find y2 using the reduction of order formula. 7 pts (b) Use Wronskian to verify that yi and Y2 are linearly independent solutions. 5 pts
4. Find two linearly independent series solutions of y" + x²y' + xy = 0 (description of the series up to degree 6 is enough.)
4. Find two linearly independent series solutions of y" + x²y' + xy = 0 (description of the series up to degree 6 is enough.)