For the each of the four ODEs in Problem 3, the general solution must involve a constant c. For each of the four equations, how does c affect the long term be- haviors of y(t) ast → ∞o?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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ODE's = 

y′ + 1/ty = 3 cos(2t), t > 0

ty′ − y = t^2e^−t, t > 0

y′(t)−2y(t)/t+2 =(t+2)^2,y(1)=18

 

For the each of the four ODEs in Problem 3, the general solution must
involve a constant c. For each of the four equations, how does c affect the long term be-
haviors of y(t) ast → ∞o?
Transcribed Image Text:For the each of the four ODEs in Problem 3, the general solution must involve a constant c. For each of the four equations, how does c affect the long term be- haviors of y(t) ast → ∞o?
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