In Problems 15–18 verify that the indicated function y = ϕ(x) is an explicit solution of the given first-order differential equation. Proceed as in Example 6, by considering ϕ simply as a function and give its domain. Then by considering ϕ as a solution of the differential equation, give at least one interval I of definition.17. y′ = 2xy 2 ; y = 1/(4 − x2)
In Problems 15–18 verify that the indicated function y = ϕ(x) is an explicit solution of the given first-order differential equation. Proceed as in Example 6, by considering ϕ simply as a function and give its domain. Then by considering ϕ as a solution of the differential equation, give at least one interval I of definition.17. y′ = 2xy 2 ; y = 1/(4 − x2)
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
Problem 10CR
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In Problems 15–18 verify that the indicated function y = ϕ(x) is an explicit solution of the given first-order differential equation. Proceed as in Example 6, by considering ϕ simply as a function and give its domain. Then by considering ϕ as a solution of the differential equation, give at least one interval I of definition.
17. y′ = 2xy 2 ; y = 1/(4 − x2)
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