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y dx = (x + /y? – x²) dy. (x + Vy2 - у? — х?) dу.

y dx = (x + /y? – x²) dy. (x + Vy2 - у? — х?) dу.

Advanced Engineering Mathematics
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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topic: first order differential equations

 

please answer # 20 the answer is already indicated on the right, i just need the solutions for the answer

15. x dx + sin? (v/x)[y dx – x dy] = 0. 16. (x – y In y + y ln x) dx + x(In y – In x) dy = 0. 4x In |x/c| – 2y + x sin (2y/x) = 0. ANS. %3D ANS. (x – y) In x + y In y = cx + y. 17. [x – y arc tan (y/x)] dx + x arc tan (y/x) dy = 0. 18. y? dy = x(x dy – y dx) e*lv. 19. t(s? + t?) ds – s(s² – t?) dt = 0. 20. y dx = (x + y² – x²) dy. ANS. 2y arc tan (y/x) = x In [c2(x² + y²)/x+]. ANS. y In ly/c = (y – x) e*l». ANS. s? = - 2t² In |cst|. arc sin (x/y) = In [y/c\. %3D ANS. %3D
Transcribed Image Text:15. x dx + sin? (v/x)[y dx – x dy] = 0. 16. (x – y In y + y ln x) dx + x(In y – In x) dy = 0. 4x In |x/c| – 2y + x sin (2y/x) = 0. ANS. %3D ANS. (x – y) In x + y In y = cx + y. 17. [x – y arc tan (y/x)] dx + x arc tan (y/x) dy = 0. 18. y? dy = x(x dy – y dx) e*lv. 19. t(s? + t?) ds – s(s² – t?) dt = 0. 20. y dx = (x + y² – x²) dy. ANS. 2y arc tan (y/x) = x In [c2(x² + y²)/x+]. ANS. y In ly/c = (y – x) e*l». ANS. s? = - 2t² In |cst|. arc sin (x/y) = In [y/c\. %3D ANS. %3D
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