Solve y″+4y′+20y= 0, y(0) = −1, y'(0) = 18 y(t) = -e² (cos(4t) +5 sin (4t)) × The behavior of the solutions are: Oscillating with decreasing amplitude O Oscillating with increasing amplitude Steady oscillation Question Help: Video 1 Video 2
Solve y″+4y′+20y= 0, y(0) = −1, y'(0) = 18 y(t) = -e² (cos(4t) +5 sin (4t)) × The behavior of the solutions are: Oscillating with decreasing amplitude O Oscillating with increasing amplitude Steady oscillation Question Help: Video 1 Video 2
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
Question
Transcribed Image Text:Solve
y″+4y′+20y= 0, y(0) = −1, y'(0) = 18
y(t) = -e² (cos(4t) +5 sin (4t)) ×
The behavior of the solutions are:
Oscillating with decreasing amplitude
O Oscillating with increasing amplitude
Steady oscillation
Question Help:
Video 1
Video 2
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