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Verify that$$y(t)=c_{1} \cos \omega t+c_{2} \sin \omega t$$is a solution to the differential equation (1.1.21). Show that the amplitude of the motion is$$A=\sqrt{c_{1}^{2}+c_{2}^{2}}$$

$\delta=\tan \left(\frac{3}{-2}\right)$

Calculus 2 / BC

Chapter 1

First-Order Differential Equations

Section 1

Differential Equations Everywhere

Differential Equations

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

05:04

Show that $c_{1} \cos k t+…

01:00

For an object in damped ha…

01:29

02:08

For an object in simple ha…

03:37

Verify that $ y = -t \cos …

01:54

Damped Harmonic Motion An …

00:58

An initial amplitude $k,$ …

00:48

An initial amplitude $k$, …

03:09

Show that the differential…

09:52

Consider the damped spring…

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