Consider the following non-homogeneous first-order differential equation, where y = dy . dt Ty' + y = 10 ⋅ x(t) = x(t) = (+1 for 10) y (0) = -10 -1 t<01 for t>0 Find the value of the solution to this equation when y (½ = 2), or at the second time constant.
Consider the following non-homogeneous first-order differential equation, where y = dy . dt Ty' + y = 10 ⋅ x(t) = x(t) = (+1 for 10) y (0) = -10 -1 t<01 for t>0 Find the value of the solution to this equation when y (½ = 2), or at the second time constant.
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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Transcribed Image Text:Consider the following non-homogeneous first-order differential equation,
where y
=
dy
.
dt
Ty' + y = 10 ⋅ x(t) = x(t) = (+1 for 10)
y (0) = -10
-1 t<01
for t>0
Find the value of the solution to this equation when y (½ = 2), or at the
second time constant.
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