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If the auxiliary equation associated with a homogeneous linear differential equation with constant coefficients, of the third degree with unknown y(z), has the solutions 2, 2, 9. Then the general solution of said difference equation is: O a) y(z) = c1e² + cze +c3ez O b) y(z) = c1e z +c2ze° Oc) y(z) = c1e²= +czxe²z + c3e®z O d) y(z) = c1e2 + cze%

If the auxiliary equation associated with a homogeneous linear differential equation with constant coefficients, of the third degree with unknown y(z), has the solutions 2, 2, 9. Then the general solution of said difference equation is: O a) y(z) = c1e² + cze +c3ez O b) y(z) = c1e z +c2ze° Oc) y(z) = c1e²= +czxe²z + c3e®z O d) y(z) = c1e2 + cze%

Advanced Engineering Mathematics
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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If the auxiliary equation associated with a homogeneous linear differential equation with constant coefficients, of the third degree with unknown y(z), has the solutions 2, 2, 9. Then the general solution of said difference equation is: O a) y(x) = c1e² + cze2 + c3e®z O b) y(x) = c1e-= + c2xe¯2# + cze¯9z + c2ze¯ O c) y(x) = c1e2z + c2xe2z + c3e®z %3D Od) y(x) = c1e + cze®%
Transcribed Image Text:If the auxiliary equation associated with a homogeneous linear differential equation with constant coefficients, of the third degree with unknown y(z), has the solutions 2, 2, 9. Then the general solution of said difference equation is: O a) y(x) = c1e² + cze2 + c3e®z O b) y(x) = c1e-= + c2xe¯2# + cze¯9z + c2ze¯ O c) y(x) = c1e2z + c2xe2z + c3e®z %3D Od) y(x) = c1e + cze®%
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