ITEMS SUMMARY < Previous Next Solve the intial value problem: 25y" – 30y' +9y = 0, y(-1) = 2, y'(1) = -4. Give your answer as y=... . Use t as the independent variable. Answer: Submit answer Answers Answer Score -13 Instructions 0/13 Type here to search
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...
II. Determine the general solution of the given 2nd order linear homogeneous equation. 1. y" - 2y' + 3y = 0 (ans. y = ci e' cos V2 x + C2 e* sin V2 x) 2. y" + y' - 2y = 0 (ans. y = C1 ex + C2 e -2x) 3. y" + 6y' + 9y = 0 (ans. y = C1 e 3x + c2x e-3x) 4. Y" + 4y = 0, y(t) = 0, y'(T) =...
QUESTION 2 The general solution of the ODE y" -7y +6y=0 is a.y=c1 e^(6x) + c2 e^(5x) b.y=c1 e^(3x) + c2 e^(6x) c.yu ch enx + C20M-6X) d. y cle'x .2016) -k Save and Submit to save and submit. Click Save All Answers to save all answers.
For the equation xạy" +6xy' +9y=0, the general solution is y=Cqx+3 +C2x-3in(x) None of the other alternatives is correct. y=Cje-3+Czte-37 y= C1x-5/2 cos(711x/2) + C2x-5/2sin(711x/2). v=C1x1-5+V11) V11)/2 + C2xl-5-v11)/2
Question 6 3 pts If the functions y = x and y = xe are linearly independent solutions of the non-homogeneous second-order linear differential equation with variable coefficients xʻyll – x(x + 2)yı + (x + 2)y = x3, its general solution is given by Oy=C1x + C2x² cm – 23 Oy=C1x2 + C2xell – 23 None of them y = C1+C2ce® +22 O 9= C1z+C2cef - 22
(8 pts) In this problem you will solve the non-homogeneous differential equation y" + 9y = sec (3x) (1) Let C and C2 be arbitrary constants. The general solution to the related homogeneous differential equation y" + 9y = 0 is the function yn (x) = C1 yı(2) + C2 y2(x) = C1 +C2 NOTE: The order in which you enter the answers is important; that is, Cif(x) + C2g(x) + C19(x) + C2 f(x). (2) The particular solution yp(x)...
Solve the IVP and use the result to find amplitude and the phase shift (in degree). y" +4 y = 0, y(0) = 1, y'(0) = -2 Amplitudes = (2)^0.5, phase shift = 135 Amplitudes = 2, phase shift = 135 Amplitudes = (2)^0.5, phase shift = 45 Amplitudes = (2)^0.5, phase shift = -45 A mass of 0.5 kg stretches a spring by 70 cm. The damping constant is c=2. External vibrations create a force of F(t) = 0.5...
Question 25 Minimize P = 5x +9y subject to the given constraints. (xzo y20 x+y S8 OP = 40 at (8,0) O P = 72 at (0,8) none of these OP=0 at (0,0) OP= 56 at (4.4) Question 26 Let f(x)=x2-1, g(x)= 3x - 2. Find the function. (-8)(5) of-g5) = 15 ou-gx5)= 10 O None of the above OV-8)(5)= 11 ob-gx5)=9 Ov-gx5)= 12 Question 27 Graph the solution set of the system. ya x² (y<x+3 3 4 5 7...
Question 1 5 pts Determine the Laplace transform of the given function f(t) = teu cos 4t OF(s) = (8-4)2-16 [18-4)2+16) None of them OF(8) (8-4)2-16 [(-4)2+4)* (8-4)2-4 [(8-4)2 +16] OF(s) Question 2 5 pts The general solution for the differential equation with x as the independent variable to y(4) - y" – 9y' +11y +6y=is_(Hint: y(x) = e(1- 2) is a solution.] 32 + Cle2 Oy(x) = cze(1+x2)x + cze(1-12x + c3 e3x + c4e-2x y(x) = cjell-v2)x +...