dy = 8+ 4x +36 y + 18 zy da plicit general solution of the form F(x, y) = K, where K is an arbitrary constnat. cause the differential equation is separable, we can define the solution curve implicitly by a fu F(x, y) = G(x) + H(y) = K. a solution and then give the related functions requested.

dy = 8+ 4x +36 y + 18 zy da plicit general solution of the form F(x, y) = K, where K is an arbitrary constnat. cause the differential equation is separable, we can define the solution curve implicitly by a fu F(x, y) = G(x) + H(y) = K. a solution and then give the related functions requested.

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.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...

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Question

The differential equation
dy
= 8+ 4z + 36 y + 18 zy
da
-
has an implicit general solution of the form F(x, y) = K, where K is an arbitrary constnat.
In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form
F(x, y) = G(x) + H(y) = K.
Find such a solution and then give the related functions requested.
F(x, y) = G(1) + H(y) =

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