6.22. Consider the differential equation y' = x(y + 1)². (a) Is this equation linear or non-linear? (b) What is the most we can say about the interval of existence for the solution to this equation with initial condition y(0) = 1? (c) Find the solution (in explicit form) to this differential equation with y(0) = 1. Over what values of x does this solution exist?

6.22. Consider the differential equation y' = x(y + 1)². (a) Is this equation linear or non-linear? (b) What is the most we can say about the interval of existence for the solution to this equation with initial condition y(0) = 1? (c) Find the solution (in explicit form) to this differential equation with y(0) = 1. Over what values of x does this solution exist?

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 1CR

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