Let y=a, +a,t+azt² + azt³ + a4t* + aşt³ + agtº + ... d?y be the solution of dy +t- dt? +y=tan-t ; y(0)=1, y'(0)= – 1 dt tan-t =t- + + Write a, , round your answer to three digits after the decimal sign.

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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Let y= a, +a,t+ azt² + a3t³ + a4tª + aşt³ + agt° +
d?y
be the solution of
......
dy
+y=tan-lt
; y(0)= 1, y'(0)= – 1
+t-
dt2
dt
1
tan-t =t -
3
1
t5
7
1t7 + ...
+
Write a, , round your answer to three digits after the decimal sign.
Transcribed Image Text:Let y= a, +a,t+ azt² + a3t³ + a4tª + aşt³ + agt° + d?y be the solution of ...... dy +y=tan-lt ; y(0)= 1, y'(0)= – 1 +t- dt2 dt 1 tan-t =t - 3 1 t5 7 1t7 + ... + Write a, , round your answer to three digits after the decimal sign.
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