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What is the solution to the differential equation:  dy/dx = y/(x2 + 1)  when y > 0?  A. y = eC + 1/3 x^3 + x B. y = 1/(C + arctan x)  C. y = eC + arctan x  D. y = √2C + 2 arctan x  E. y = e(Cx^2 + C + 1)/(x^2 + 1)

What is the solution to the differential equation:  dy/dx = y/(x2 + 1)  when y > 0?  A. y = eC + 1/3 x^3 + x B. y = 1/(C + arctan x)  C. y = eC + arctan x  D. y = √2C + 2 arctan x  E. y = e(Cx^2 + C + 1)/(x^2 + 1)

Calculus For The Life Sciences
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 15CR
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What is the solution to the differential equation: 

dy/dx = y/(x2 + 1) 

when y > 0? 

A. y = eC + 1/3 x^3 + x

B. y = 1/(C + arctan x) 

C. y = eC + arctan x 

D. y = √2C + 2 arctan x 

E. y = e(Cx^2 + C + 1)/(x^2 + 1) 

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