In each of the following equations, p(t) and g(t) may not always be continuous for all t. Instead, for each of these equations, find the largest open interval around the given to such that p(t) and g(t) are both continuous (so that a unique solution exists on that open interval of t). You don't have to solve these equations. - (a). (t − 3)y' + (Int)y = 2t, (b). y' + (tant)y = sint, (c). (4 — t²) y' + 2ty =3t², y(1) = 2 y(л) = 0 y(-3) = 1 (d). y′+2y= g(t), y(0) = 0, where g(t) = { :{ 1, 0 ≤ t≤1 0, t > 1

In each of the following equations, p(t) and g(t) may not always be continuous for all t. Instead, for each of these equations, find the largest open interval around the given to such that p(t) and g(t) are both continuous (so that a unique solution exists on that open interval of t). You don't have to solve these equations. - (a). (t − 3)y' + (Int)y = 2t, (b). y' + (tant)y = sint, (c). (4 — t²) y' + 2ty =3t², y(1) = 2 y(л) = 0 y(-3) = 1 (d). y′+2y= g(t), y(0) = 0, where g(t) = { :{ 1, 0 ≤ t≤1 0, t > 1

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.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 1E

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