[x – y arc tan (y/x)] dx + x arc tan (y/x) dy = 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 45E
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17. [x – y arc tan (y/x)] dx + x arc tan (y/x) dy = 0.
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ANS. 2y arc tan (y/x) = x In [c²(x² + y²)/x*].
Transcribed Image Text:17. [x – y arc tan (y/x)] dx + x arc tan (y/x) dy = 0. | ANS. 2y arc tan (y/x) = x In [c²(x² + y²)/x*].
18. y? dy = x(x dy – y dx) e*l».
ANS. y In [y/c| = (y – x) e*l».
Transcribed Image Text:18. y? dy = x(x dy – y dx) e*l». ANS. y In [y/c| = (y – x) e*l».
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