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A particular solution of the differential equation y!! -y =Bxe* + Zeis Select the correct answer...
1) Separate variables and find the particular solution of the differential equation x2 dy = y dx if y = 1 when x = 1. -1 - + 2 A) In y = =-- + 2 or y=e B) In y = ln x2 or y = x2 A) in y=- +2 or y=e**2 C) In y=-1+1 or w ts - +1 In y = -— +1 or y=e D) 4+2 or y= 2: 2) Find the general solution of...
Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. J.(4) +9y" = 5 + e' (x – 3) + 4sin(3x). Ax + B + C sin(3x) + D cos(3x) + Exer Ax? + Bxe - 3x + Cxe3x + Det + Exet A + Bxe-3x + Cxe3x + Det + Exet none of these A+B sin(3x) + Cx sin(3x) + Det + Exel Ax2 + Bx cos (3x) + Cxsin (3x)...
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. * (8 Puan) y (4) +9y" = 5+ (x-3) + 4sin(3x). A + B sin(3x) + Cx sin(3r) + Det + Exer A + Bxe-3x + Cxex + De' + Exet Ax? + Bxe-3x + Cxe3x + Det + Exel none of these Ax? + Bx cos(3x) + Cx sin(3x) + Del + Exe" Ax+ B + C sin(3x) + D...
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
Find a particular solution, yp(x), of the non-homogeneous differential equation d2 +y(x) = 6 ((x)) +9 y(x) = 6 x+2, d x2 given that yh(x) = A e3x +B x @3x is the general solution of the corresponding homogeneous ODE. The form of yp(x) that you would try is Oyp = ax + b Oyp = a 2x Oyp = ax2 3x Enter your answer in Maple syntax only the function defining yp(x) in the box below. For example, if...
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. (8 Puan y(4) +9y" = 5+ &'(x-3) + 4sin (3x). none of these O Ar? + Bx cos(3x) + Cx sin(3x) + De' + Exet Ar + B + C sin(3x) + D cos(3x) + Exe" A + Bre-3x + Crer + De + Exet O Ar? + Bxe- + Crex + Det + Exe! A + B sin(3x) + Cxsin(3x)...
Find the general solution of the dierential equation where y = x^2 is a particular solution 2. Find the general solution of the differential equation where y = x2 is a particular solution (1 – xº)y' – 2x + x²y + y2 = 0
(1 point) Match each differential equation to a function which is a solution. FUNCTIONS A. y = 3x + x2, B.y= e 4x, C.y=sin(x), D.y=x2, E. y = 3 exp(62), DIFFERENTIAL EQUATIONS 1. y' +y=0 2. 2x²y" + 3xy' = y 3. y' = 6y 4. y" + 10y' + 24y = 0
Find the particular solution to the given differential equation that satisfies the given conditions. d2y 9 dy 14y= 12 - ex; 4) dx dx2 and y - 29 when x = 0 42 dy dx 2 2x A) y B) y 7 6 7 6 사우-등나을이건을. 22x+ 27x-6_1 ex 2 2x-2,7x,6_1 5 7 6 C) y D) y 7 6 Find the particular solution to the given differential equation that satisfies the given conditions. d2y 9 dy 14y= 12 -...
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