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Find the solution. (D4 + 18D² + 81)y = 0 A y = (c, + cx)e²"cos3x + (c,+cx)e²"sin3x. B y = (c, + cz*) cos3x + (cz+c") sin3x. В © y = (c, + cx)e¯*cos3x + (c,+cx)sin3x. D y = (c, + c2) cos3x + (cz+c) sin3x.

Find the solution. (D4 + 18D² + 81)y = 0 A y = (c, + cx)e²"cos3x + (c,+cx)e²"sin3x. B y = (c, + cz*) cos3x + (cz+c") sin3x. В © y = (c, + cx)e¯*cos3x + (c,+cx)sin3x. D y = (c, + c2) cos3x + (cz+c) sin3x.

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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Find the solution. (Dª + 18D² + 81)y = 0 A y = (c, + cx)e²"cos3x + (cz+ct)e²*sin3x. B В y = (c, + c,x)cos3x + (cz+c,x)sin3x. © y = (c, + cx)e¯*cos3x + (c,+cx)sin3x. D y = (c, + c,) cos3x + (cz+c¸) sin3x.
Transcribed Image Text:Find the solution. (Dª + 18D² + 81)y = 0 A y = (c, + cx)e²"cos3x + (cz+ct)e²*sin3x. B В y = (c, + c,x)cos3x + (cz+c,x)sin3x. © y = (c, + cx)e¯*cos3x + (c,+cx)sin3x. D y = (c, + c,) cos3x + (cz+c¸) sin3x.
Find the solution. (D3 –2D2 –5D +6)y =0; when x =0, y=1, y'= -7, y"= -1 A y = -e* = e2x = -e-3* + 2e 2r - 3x В y = e* + 2e -2* 3x 3x D y = - e* + 2e
Transcribed Image Text:Find the solution. (D3 –2D2 –5D +6)y =0; when x =0, y=1, y'= -7, y"= -1 A y = -e* = e2x = -e-3* + 2e 2r - 3x В y = e* + 2e -2* 3x 3x D y = - e* + 2e
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