The function y=0.5+ce-40t is a one-parameter family of solutions of the 1st-order ordinary differential equation y' + 40y = 20. Find a solution of the 1st-order Initial-Value Problem (IVP) consisting of this ordinary differential equation and the following initial condition: y(0) = 0 Type your answer as a number in the space provided below. Round your answer to 2 significant digits and do not include spaces in your answer. y = 0.5 + e-40t

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 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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The function
y=0.5+ce-40t
is a one-parameter family of solutions of the 1st-order ordinary differential equation y' + 40y = 20. Find a
solution of the 1st-order Initial-Value Problem (IVP) consisting of this ordinary differential equation and the following
initial condition:
y(0) = 0
Type your answer as a number in the space provided below. Round your answer to 2 significant digits and do not
include spaces in your answer.
y = 0.5 +
e-40t
Transcribed Image Text:The function y=0.5+ce-40t is a one-parameter family of solutions of the 1st-order ordinary differential equation y' + 40y = 20. Find a solution of the 1st-order Initial-Value Problem (IVP) consisting of this ordinary differential equation and the following initial condition: y(0) = 0 Type your answer as a number in the space provided below. Round your answer to 2 significant digits and do not include spaces in your answer. y = 0.5 + e-40t
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,