Question 6 The solution of the differential equation x?y" – 3xy' + 4y = 0) is...
The general solution of the Cauchy-Euler differential equation x’y" + 5xy' + 4y = 0 is a) y = ce-* + c2e-4x b) y = c;e-2x + czxe-2x d) y = Cyx-2 + c2x-2 Inx c) y = C1x-1 + c2x Select one: C a
ther question will save this response. Question 9 The solution of the equation for the differential equation x?y" - 2xy' + 2y = 0 is Select the correct answer. a. y =Cjx+car? | b. y= x+c xinx 1+vs. c. y = cx 2 +Cax v31nx )+carż sin( 731inx d.y=Cjx-cos
QUESTION 25 Find the general solution of the following differential equation. 3xy'+3xy=9y А. 3 2 1 =C yx? x 3 1 =C yxx B. 2 3 ос xx² D. 1 2 y²x² x² 2 y = C X OE. 3 xx²
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
Question 5 8 pts Let y be the solution of the equation y'' – 4y + 3y = 0 satisfying the conditions y (0) = 1 andy (0) = 3. Let f (x) = e->y (x). Find the value of the function f at r = 1. 8 pts Question 6 Let y be the solution of the equation y' + 4y = 0 satisfying the conditions y (0) = 0 and y (0) = 2. Find the value of...
3. Determine the general solution of each differential equation. (a) y" – 10y' + 25y = 0) (b) 2y" – 4y' +9 = 0) (C) x2y" + 3xy' + 4y = 0)
6. The differential equation: y 4y 2x y(0) 1/16 has the exact solution given by the following equation: v = (1 /2)s, + (14)s +1.16 Calculate y (2.0) using a step size h-0.5 using the following methods: (a) Euler (b) Euler P-c (c)4h order Runge-Kutta (d) Compare the errors for each method. (e) Solve using Matlab's ode45.m function. Include your code and a print of the solution.
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*
For the differential equation y" + 4y' + 13y = 0, a general solution is of the form y = e-2x(C1sin 3x + C2cos 3x), where C1 and C2 are arbitrary constants. Applying the initial conditions y(0) = 4 and y'(0) = 2, find the specific solution. y = _______
Solve the differential equation below using series methods. y' + 3xy' + 8y = 0, y(0) -1, y'(0) = – 5 Find the first few terms of the solution y(x) = axxk. k=0 ao = Preview ai Preview A2 = Preview = a3 = Preview 24 = Preview 05 = Preview