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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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