Example 5: Solve the DE (3 + y + 2y^2 sin^2 x) dx + (x+ 2xy − y sin 2x) dy = 0 i. f(x,y) = M(x,y) dx = F(x,y) + Q(x) + T(y) where y is held constant.

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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Example 5: Solve the DE (3 + y + 2y^2
sin^2 x) dx + (x+ 2xy − y sin 2x) dy = 0
i. f(x,y) =  M(x,y) dx = F(x,y) + Q(x) + T(y) where y is held constant.

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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,