Let y= a,+a,t+ azt? + a3t³ + a4t* + agt5 + agt6 +...... be the solution of d?y ад dy +t- +y=tan-'t ; у(0) %3D1, у' (0) — — 1 = dt? dt 1 tan-t=t – 3 1 15 + 5 1 t? + 7 - Write ao
Let y= a,+a,t+ azt? + a3t³ + a4t* + agt5 + agt6 +...... be the solution of d?y ад dy +t- +y=tan-'t ; у(0) %3D1, у' (0) — — 1 = dt? dt 1 tan-t=t – 3 1 15 + 5 1 t? + 7 - Write ao
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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Transcribed Image Text:Let y=ao+aqt+ a,t?+ a3t³ + a4t* + aşt³ + agt® +
d?y
.... be the solution of
dy
+y=tan-'t
; у(0) %3D 1, у'(0)%3 — 1
+t
dt?
dt
tan-'t=t-
1
1
t5
1
t'+
+
3
Write ao
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