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The differential equation of the undamped oscillator is * + + cy ( ) = 0 with CO Here is a sample with C = 2 1 3 01 = 1.5 1 101 = 3 2 . 1 ;...

Differential Equations and undamped oscillators.

What happens when you keep y(0) the same?

The differential equation of the undamped oscillator is* + + cy ( ) = 0 with COHere is a sample withC = 2 1 3 01 = 1.5 1 101 = 32 . 1 ;initialdisplacement = 1.5 ;initialvel = 3 .endtimeClear [ s , Y , Y , t ) ;andssol = NoSOLVE [ Ly " ( + ) + cy [ t )8 , y ( @ )initialdisplacement , y [ ]initialvell , yet , Itendtime ! ) ;[ + 1 = y [ + ] andasol [ ( 171 ;Plot [ y [ + ) , it , e ,6 , endtime ) , Plotstyle - > ( ( Thickness . 61 , Blue ) ) , PlotRange - All ,AxesLabel - ( " " , " Vit " ) . PlotLabel - " Undamped oscillatorThis gives youidea of how your grandfather's tired oldCadillac with worn- out shock absorbers willoscillate immediately after you drive it over a big pot holeSay why you should IId have been able to predict in advance with no plotting that as I advances from O the plot of it had to go up before it could go downWhat happens when you keep ; ( Of the same but you go with101 50 ?
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