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Find the general solution of the given differential equation using variation of parameters. y" + 100y' = sec10t, π 20

Find the general solution of the given differential equation using variation of parameters. y" + 100y' = sec10t, π 20

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 general solution of the given differential equation using variation of parameters. y" + 100y' = sec10t, π 20 <t< I 20 O y = C₁ + c₂cos 10t + c3sin10t +0.0011n|sec10t + tan10t| -0.01tcos 10t + 0.001sin10tln(cos 10t) O y = C₁ + c₂cos 10t + c3sin10t + 0.0011n|sec10t + tan10t| – 0.01t+ 0.0011n(cos10t) O y = C₁ + c₂cos 10t + c3sin10t + c4ln|sec10t + tan10t - cstcos 10t + csin10tln(cos10t) O y = 1 + cos10t+ sin10t+c₁ln|sec10t + tan10t|c₂tcos10t + c3sin10tln(cos10t)
Transcribed Image Text:Find the general solution of the given differential equation using variation of parameters. y" + 100y' = sec10t, π 20 <t< I 20 O y = C₁ + c₂cos 10t + c3sin10t +0.0011n|sec10t + tan10t| -0.01tcos 10t + 0.001sin10tln(cos 10t) O y = C₁ + c₂cos 10t + c3sin10t + 0.0011n|sec10t + tan10t| – 0.01t+ 0.0011n(cos10t) O y = C₁ + c₂cos 10t + c3sin10t + c4ln|sec10t + tan10t - cstcos 10t + csin10tln(cos10t) O y = 1 + cos10t+ sin10t+c₁ln|sec10t + tan10t|c₂tcos10t + c3sin10tln(cos10t)
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