Evaluate: S 2y+3 (y-1)(³-1) dy ° − In\y − 1| − § (y − 1)³ + ¼ln|y² + y +1| - O √3 ○ – In|₁¹|- (y − 1)³ + In|y² + y +1| - arctan (√3(2+¹)) + C 9 0-₁-(₁) + 31- ¹n|y² + y + 1 - arctan (√³(2+1)) + 3 ¹n|y² + y +1| − · arctan (√(2+¹)) + C 3 O √3(2y+1 − In\y − 1 − (₁¹) + arctan ( 3(2y+¹)) - +C

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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Evaluate:
ㅇ
2y+3
(y-1)(-1)
ㅇ
-dy
- my - 11 - (-1) + y + y + 11 - a
-y-1) +
() +
Only-11-1 (六)
arctan
V3(2y+1)
y + y + 11 - -arctan (3(2+1)) + C
+ y + 11-
+
글] + y + 11 - arctan (v(2y+1)) + (
-arctan
ar
+ +C
√3(2y+1)
(vs(20+1)) +
+C
19
Transcribed Image Text:Evaluate: ㅇ 2y+3 (y-1)(-1) ㅇ -dy - my - 11 - (-1) + y + y + 11 - a -y-1) + () + Only-11-1 (六) arctan V3(2y+1) y + y + 11 - -arctan (3(2+1)) + C + y + 11- + 글] + y + 11 - arctan (v(2y+1)) + ( -arctan ar + +C √3(2y+1) (vs(20+1)) + +C 19
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