Find the general solution of this ODE: d'y dy +13. +42y = 4t² −1+9e¯ dt² dt The solution will be of the form: y(t) = Cy₁(t) + Dy2(t) + Yp(t) so use C and D as the arbitrary constants. y(t) = = .-3t
Find the general solution of this ODE: d'y dy +13. +42y = 4t² −1+9e¯ dt² dt The solution will be of the form: y(t) = Cy₁(t) + Dy2(t) + Yp(t) so use C and D as the arbitrary constants. y(t) = = .-3t
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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Transcribed Image Text:Find the general solution of this ODE:
d'y dy
+13. +42y = 4t² −1+9e¯
dt² dt
The solution will be of the form:
y(t) = Cy₁(t) + Dy2(t) + Yp(t)
so use C and D as the arbitrary constants.
y(t) =
=
.-3t
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