Find the general solution using Variation of parameter. (D? + 1)y= sec?xtanx 1 y= C,cosx + C2sinx +tanx + cosxin secx + tanx 2 1 y= C,cosx + C2sinx +tanx 1 -cosxin secx +tanx| 1 y= C,cosx + C2sinx -tanx +cosxin|s 1 cosxin|secx +tanx 2 1 y= C,cosx + C2sinx +tanx+ 1 cosxin|secx +tanx|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the general solution using Variation of parameter.
(D? + 1)y= sec?xtanx
1
y= C,cosx + C2sinx +tanx + cosxin secx + tanx
2
1
y= C,cosx + C2sinx +tanx
1
-cosxin secx +tanx|
1
y= C,cosx + C2sinx -tanx +cosxin|s
1
cosxin|secx +tanx
2
1
y= C,cosx + C2sinx +tanx+
1
cosxin|secx +tanx|
Transcribed Image Text:Find the general solution using Variation of parameter. (D? + 1)y= sec?xtanx 1 y= C,cosx + C2sinx +tanx + cosxin secx + tanx 2 1 y= C,cosx + C2sinx +tanx 1 -cosxin secx +tanx| 1 y= C,cosx + C2sinx -tanx +cosxin|s 1 cosxin|secx +tanx 2 1 y= C,cosx + C2sinx +tanx+ 1 cosxin|secx +tanx|
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