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2) Show that y =1 - Ce-* is a solution of the differential equation = 1- y for any real number C. dx Find the particular solution that passes through (0,0).

2) Show that y =1 - Ce-* is a solution of the differential equation = 1- y for any real number C. dx Find the particular solution that passes through (0,0).

Advanced Engineering Mathematics
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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2) Show that y = 1 - Ce¯* is a solution of the differential equation dy 1-y for any real number C. %3D dx Find the particular solution that passes through (0,0). 3) Show that y = Cx is a solution of the differential equation dy = Y for any real number C. dx Find the particular solution that passes through (-8,24). 4) Find the amount A in an account after t years if dA = 0.03A and A(0)= 100 dt --
Transcribed Image Text:2) Show that y = 1 - Ce¯* is a solution of the differential equation dy 1-y for any real number C. %3D dx Find the particular solution that passes through (0,0). 3) Show that y = Cx is a solution of the differential equation dy = Y for any real number C. dx Find the particular solution that passes through (-8,24). 4) Find the amount A in an account after t years if dA = 0.03A and A(0)= 100 dt --
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