Solve the linear Homogenous Differential Equations with Constant Coefficients: (D' -D'-2D' +2D° +D-1ly=0 a. y = c,e* +c,xe* +c,x?e* + c,e* + c;xe* b. y = c,e* + cze* + czxe* + c,e* +c;xe* c.y = c,e* + cze* + C3xe* + c4e* + ¢5xe* d. y = c,e* + c2xe* + egx²e* + c,e* + csxe* e. none of these A O E Find the general solution of the linear differential equations. y" - 3y' - 4y = 30e*
Solve the linear Homogenous Differential Equations with Constant Coefficients: (D' -D'-2D' +2D° +D-1ly=0 a. y = c,e* +c,xe* +c,x?e* + c,e* + c;xe* b. y = c,e* + cze* + czxe* + c,e* +c;xe* c.y = c,e* + cze* + C3xe* + c4e* + ¢5xe* d. y = c,e* + c2xe* + egx²e* + c,e* + csxe* e. none of these A O E Find the general solution of the linear differential equations. y" - 3y' - 4y = 30e*
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the linear Homogenous Differential Equations with Constant Coefficients:
(D' -D' - 2D' + 2D² + D-1)y=0
a. y = c,ex + c, xex + c3x?ex + cze* + c;xex
b. y = c,e* + cze* + c3xe* + c4c* + c;xe*
c. y = cex + cze* + c3xex + C4e* + czxex
d. y = c,e* + c2xe* + c3x²e* + c4e* + cgxe*
e. none of these
A
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Find the general solution of the linear differential equations. y" - 3y' - 4y = 30e*
a. y = c,e*x - czeX - 5e*
b. y = c,e* + cze* + 5ex
c. y = c,e4x + c,e* - 5e*
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Choose the correct answer and provide the solutions in a
separate sheet of paper.
Find the general solution of the linear differential equations.
(D' - D +D-1y = 4sin x
a. y = C,e* + C2 cos x + C3 sin x + x cos x +x sin x
b. y = C,ex + C2 cos x + C3 sin x + x cos x + x sin x
c. y = C,ex + C2 cos x + Cz sin x + x cos x – x sin x
d. y = Ce* + C2 cos x + C3 sinx - x cos x – x sin x
e. none of these
A
D
Obtain a linear differential equation with real, constant coefficients that is satisfied
by the particular solutions. y= sin'x
a. (D5 - 20D³ + 64D)y = 0
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