The correct solution of Section 10.2 Exercises Problem 14 on Page 655 is dy et d²y dx dx² = 2t 2 = 2te¹ - 2e¹ 4t²
The correct solution of Section 10.2 Exercises Problem 14 on Page 655 is dy et d²y dx dx² = 2t 2 = 2te¹ - 2e¹ 4t²
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:The correct solution of Section 10.2 Exercises Problem 14 on Page 655 is
dy e¹
dx
dy
dx
dy
dx
dy
dx
dy
dx
=
=
=
=
=
2t
"
e²
2t'
d²y_2te¹- 2e¹
=
4t²
dx²
2
d²y
dx²
et d²y
2t' dx²
=
=
te¹ - 2e¹
4t²
2te¹ - 2e¹
2t3
et d²y_2te¹ - 2e¹
=
2t' dx²
8t³
e-1 d²y
+² +1
2
dx²
=
(t² + 1)e¹-2te¹
(t² + 1)²
Transcribed Image Text:14. xt²+1, y =et - 1
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