The solution of the differential equation g/ 0 is Select the correct answer (a) 0 ce...
Question 2 (15 points) Solve the differential equation for the general solution y 6y' 73y 0 y(t) C cos(3t) C2 sin(3t) y(t) = C1 cos(8t) + C2 sin(8t) y(t) cos(8t) +C2e" sin(St) y(t) Ce cos(8t) Cest sin (8t) y (t) = Cleft cos (8t) + C2eft sin (8t) (t)Cest cos(9)Cesin (9t) Previous Page Next Page Page 2 of9
Part a What is a solution of the following differential equation? df dt Select the correct answer O f(t) A sin(kt) f(t) = Ce-kt
3. Find the general solution of the differential equation y” + 2y' + y = 0 (a) y=ce' +c,e* (b) y= ce" + xe * (c) y = cxe* +c,e* (d) y= ce* +C,xe" (e) y=ce?* +c,e-2 (f) y= c,e + ,xe” (g) y=cxe?* +cze 2 (h) y= c,e + ,xe 21
A particular solution of the differential equation y!! -y =Bxe* + Zeis Select the correct answer wy-(x2-3x) -(2x² + x)e* -(2x²x)ex
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
Solve the following questions and Choose the correct answer. 1) The General solution to y" + y = 0 sty -3&y(x) = -3 y = cos(3x) + sin(-31) , 3cos(x) – 3 sin(x) 3 ) 3 Answer 2) Suppose that y(t) and y(t) are two solutions of a certain second order linear differential equation, sin(t)y" + cos(t) y' - y = 0. 0<<< What is the general form of the Wronskian Wy ) (6) ? Without solving the equation. b)...
The differential equation X2," +xy, + ( X2-1 / 16 )y = 0 is Select the correct answer. a. Bessel's equation of order 1/4 b. Legendre's equation of order 1/16 c. Bessel's equation of order n d. Bessel's equation of order 1/16 e. Legendre's equation of order 1/4 The differential equation X2," +xy, + ( X2-1 / 16 )y = 0 is Select the correct answer. a. Bessel's equation of order 1/4 b. Legendre's equation of order 1/16 c. Bessel's...
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
[10pt] 4. Which of the following differential equations has solution (t) = ce-cost + ce-sint? a) 2" - 2x + 2x = 0 b)x"+ 2x' + 2x = 0 c) <"+ 23' - 2x = 0 d) ?" - 2x' - 2x = 0 e) None of these
8. Find the solution to the differential equation y"+2y'+y=sinx using the method of undetermined coefficients. 1 COS X (a) y=ce' +ce' + -cosx 2 (b) y = ce' +cxe'+ (c) y = cxe' +cze cos x (d) y= c,e* + c xe" COSX 1 (e) y=ce' + ce + sinx 2 (f) y=ce' + exe* + sin x 2 (g) y=cxe' + e*- sinx 2 (h) y=ce' + cxe' 1 sinx 9. Use the method of undetermined coefficients to find...