1 6.12. Consider the differential equation (t + 3)y' + t²y = t-2 (a) Is this equation linear or non-linear? (b) What is the maximum guaranteed interval of existence for the solution to this equation with initial condition y(-2) = 1? (c) What if we start with the initial condition y(-4) = 5? (d) What happens if we want to start with y(4) = 2?
1 6.12. Consider the differential equation (t + 3)y' + t²y = t-2 (a) Is this equation linear or non-linear? (b) What is the maximum guaranteed interval of existence for the solution to this equation with initial condition y(-2) = 1? (c) What if we start with the initial condition y(-4) = 5? (d) What happens if we want to start with y(4) = 2?
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
Question
Transcribed Image Text:1
6.12.
Consider the differential equation (t + 3)y' + t²y =
t-2
(a) Is this equation linear or non-linear?
(b) What is the maximum guaranteed interval of existence for the solution to this equation with initial
condition y(-2) = 1?
(c) What if we start with the initial condition y(-4) = 5?
(d) What happens if we want to start with y(4) = 2?
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