1:19 Mid Exam Ordinary Differential equation I ... < * Question .10 (äi 4) If y1 (x) = sin(x²) is a solution of the D. E.: xy" + p(x)y +4x'y = 0, where x > 0, and p(x) is continuous function on R. Find the second linearly %3D ما نحل La independent solution

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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* I.
1:19
Mid Exam Ordinary Differential equation I (...
* Question.10
)4 نقطة(
If y1 (x) = sin(x²) is a solution of the D. E.:
xy" + p(x)y +4x'y = 0,
where x > 0, and p(x) is
continuous function on R.
Find the second linearly
ما نحل
independent solution
given that W[y1, y2 ](x) = x
fcos(x*) O
cos (x³)
sin(x?) O
sin(x') O
sin(x?) O
cos (x?) O
sin(x³) O
sin(x²) O
.11
)3 نقطة(
If the roots of the
Transcribed Image Text:* I. 1:19 Mid Exam Ordinary Differential equation I (... * Question.10 )4 نقطة( If y1 (x) = sin(x²) is a solution of the D. E.: xy" + p(x)y +4x'y = 0, where x > 0, and p(x) is continuous function on R. Find the second linearly ما نحل independent solution given that W[y1, y2 ](x) = x fcos(x*) O cos (x³) sin(x?) O sin(x') O sin(x?) O cos (x?) O sin(x³) O sin(x²) O .11 )3 نقطة( If the roots of the
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