Find the general solution of this ODE: dy +14 dt2 dt +49y=4e-7t The solution will be of the form: y(t) = Cyi(t) + Dy2(t) + yp(t) so use C and D as the arbitrary constants. y(t) =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Find the general solution of this ODE:
dy
+14
dt2
dt
+49y=4e-7t
The solution will be of the form:
y(t) = Cyi(t) + Dy2(t) + yp(t)
so use C and D as the arbitrary constants.
y(t) =
Transcribed Image Text:Find the general solution of this ODE: dy +14 dt2 dt +49y=4e-7t The solution will be of the form: y(t) = Cyi(t) + Dy2(t) + yp(t) so use C and D as the arbitrary constants. y(t) =
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