Answered: a. y₁ = x³y + xy³; (x² + y²) dx - xy dy…

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a. y₁ = x³y + xy³; (x² + y²) dx - xy dy =0 0-X²

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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Question

Persamaan differensial diberikan dalam bentuk standar dan differensial. Tentukan apakah persamaan-persamaan dalam bentuk standar bersifat homogen dan/atau linier dan jika tidak linier, apakah merupakan persamaan Bernoulli; Tentukan apakah persamaan-persamaan dalam bentuk differensial, diberikan sebagaimana tertulis dalam soal, bersifat tidak dapat dipisahkan dan/atau eksak a. ?′ = ?3? + ??3; (?2 + ?2)?? − 1 ?? ?? = 0 b. ?′ = 2?? + ?; (2???−?2 + ??−?2)?? − ?−?2 ?? = 0

dy
g' = x3y t xy3; (x2 +yz) dx -
b. y' = 2xy + x; (2xye-x2 + xe-x2) dx -e-** dy =0
a.
xy
=0
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