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Find the solution. (Dé+ 9D* +24D² + 16)y = 0. y = c,cosr +c,sinr + (c,+cx)cosr+ (cz+cx) sinx y = c,cosr +c,sinr + (c,+cx)cos2r+ (c,+cgF)sin2r y = c, cos2r +c,sin2r + (cz+cx)cos2r+ (cs+cgr) sin2r y = c,cos2r +c,sin2r + (cz+cx)cosr+ (c5+cgx) sinx

Find the solution. (Dé+ 9D* +24D² + 16)y = 0. y = c,cosr +c,sinr + (c,+cx)cosr+ (cz+cx) sinx y = c,cosr +c,sinr + (c,+cx)cos2r+ (c,+cgF)sin2r y = c, cos2r +c,sin2r + (cz+cx)cos2r+ (cs+cgr) sin2r y = c,cos2r +c,sin2r + (cz+cx)cosr+ (c5+cgx) sinx

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. (D6+ 9D4 +24D? + 16)y = 0. y = c,cosx +C,sinx + (€z+cx) cosr + (cz+c, A 's+cx)sinx y = c,cosx +c,sinx + (c,+cx) cos2x + (c,- ;+cr) sin2x y = c,cos2x +€,sin2x + (c,+cx) cos2x + (c,+€gr) sin2x y = c,cos2x +€,sin2x + (cz+cx)cosx + (eg+cgr) sinx
Transcribed Image Text:Find the solution. (D6+ 9D4 +24D? + 16)y = 0. y = c,cosx +C,sinx + (€z+cx) cosr + (cz+c, A 's+cx)sinx y = c,cosx +c,sinx + (c,+cx) cos2x + (c,- ;+cr) sin2x y = c,cos2x +€,sin2x + (c,+cx) cos2x + (c,+€gr) sin2x y = c,cos2x +€,sin2x + (cz+cx)cosx + (eg+cgr) sinx
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