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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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