Solve the differential equation by separation of variables. Express the family of solutions as an explicit function of x. √1 + x² dy 5+ y dx = -X NOTE: It is expected that the arbitrary constant in the general solution appears as a constant of integration with respect to x and is denoted by the capital C. Write your solution in the form y(x) = C. f(x) + g(x) y =

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.CR: Chapter 11 Review
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Solve the differential equation by separation of variables. Express
the family of solutions as an explicit function of x.
√1 + x² dy
5+ y dx
= -X
NOTE: It is expected that the arbitrary constant in the general solution appears as a
constant of integration with respect to x and is denoted by the capital C. Write your
solution in the form y(x) = C. f(x) + g(x)
y =
Transcribed Image Text:Solve the differential equation by separation of variables. Express the family of solutions as an explicit function of x. √1 + x² dy 5+ y dx = -X NOTE: It is expected that the arbitrary constant in the general solution appears as a constant of integration with respect to x and is denoted by the capital C. Write your solution in the form y(x) = C. f(x) + g(x) y =
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