Proceed as in this example and find an explicit solution of the given initial-value problem. dy = y² sin(x²), y(-4)==-1 dx 01-/* sin(t²) dt 0[/-/* since²³) de 1 36 0 36-sin(t²) dt 1-4 0 [s- /* sin(2²) de] ¹ 0 [36-* sin(t²³) de L

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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B6
Proceed as in this example and find an explicit solution of the given initial-value problem.
dy = y² sin(x²), y(-4)= =
dx
0²-/* sin(t²) dt
0 [1/6 - /* since ²) de]
36
0 36-sin(t²) dt
1-4
0 [s- /* sin(2²) de] ¹
0 [36-* sin(t²) de
O
4
Transcribed Image Text:Proceed as in this example and find an explicit solution of the given initial-value problem. dy = y² sin(x²), y(-4)= = dx 0²-/* sin(t²) dt 0 [1/6 - /* since ²) de] 36 0 36-sin(t²) dt 1-4 0 [s- /* sin(2²) de] ¹ 0 [36-* sin(t²) de O 4
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