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y" + a1(x)y = 4 sec²(8x)

y" + a1(x)y = 4 sec²(8x)

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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15)

15) If y1=cos(8x), y2=sin(8x) are linearly independent solutions of the homogeneous differential equation associated with the equation y" + a1(x)y = 4 sec2(8x) then the general solution of this equation is given by a) y = C1 sin(8x)+ C2 cos(8x) +-0.5+0.5 sin(8x) In(tan(8x) + sec(8x)) b) y = C1 sin(8x) + C2 cos(82) + –0.5 sin(8x)sec? (8x) +0.5sec(8x)) c) y = C1 sin(8x)+ C2 cos(8æ) + –0.0625 + 0.0625 sin(8x) ln(tan(8x) + sec(8x))
Transcribed Image Text:15) If y1=cos(8x), y2=sin(8x) are linearly independent solutions of the homogeneous differential equation associated with the equation y" + a1(x)y = 4 sec2(8x) then the general solution of this equation is given by a) y = C1 sin(8x)+ C2 cos(8x) +-0.5+0.5 sin(8x) In(tan(8x) + sec(8x)) b) y = C1 sin(8x) + C2 cos(82) + –0.5 sin(8x)sec? (8x) +0.5sec(8x)) c) y = C1 sin(8x)+ C2 cos(8æ) + –0.0625 + 0.0625 sin(8x) ln(tan(8x) + sec(8x))
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