2. Reduce to an exact equation and solve it: dy_2xsin 2 y+(2siny)/x² dx 2x²cosx-(2cosy)/x (2x²ysin y-xy'sinx)dx+(x'siny+x³ycosy+3xy²cosx)dy=0 (a) (b)

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 12E
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2. Reduce to an exact equation and solve it:
dy_2xsin 2 y+(2siny)/x²
dx 2x²cosx-(2cosy)/x
(a)
(b)
;
(2x²ysiny-xy'sinx)dx+(x'siny+x³ycosy+3xy cosx)dy=0
Transcribed Image Text:2. Reduce to an exact equation and solve it: dy_2xsin 2 y+(2siny)/x² dx 2x²cosx-(2cosy)/x (a) (b) ; (2x²ysiny-xy'sinx)dx+(x'siny+x³ycosy+3xy cosx)dy=0
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