Forced Harmonic Motion

[@marktoffoli9186]

Thank you professor Strang, you really have made learning engaging and insightful, I thoroughly enjoy watching your videos

Thank you MIT for sharing the knowledge to the world!

[@goytomt]

Love that "Hee'e" sound @6:51. Thank you sir!

[@lexrogan2207]

Thank you Professor Strang!

[@irslanullahashraf5158]

thank you, professor ... you always add beauty into mathematics and make it super interesting

[@knowledgewith90shoomans97]

conside an at rest linear system described by : y"+25y=2 sint+5cos5t the response of the system will be : decaying oscillation in time, oscillatory in nature, growing oscialltion inb time, none

[@studio.maximoff]

why impulse response is 1/mWn not just 1/m?

[@leonardosoto5669]

watch the previus lecture,in the null solution the coefficient of sin(wnt) is (dy/dt)(0)/wn ,in this case (dy/dt)(0) is 1/m but you stil have to divide it by wn

[@freeeagle6074]

Since d(sin(wnt)) brings wn out, we need wn to exist at the denominator to cancel wn so the dy/dt is 1/m.

[@atomskyjahid1533]

Physical interpretations are what I'm here for. ^_^

[@bigdave6952]

i dont understand why did he end up calling a null solution a impulse response at the very end, it my must have been a slip up him. It cant possibly be true.

[@eclipseslayer98]

Differential Equation seem like they should be "fairly" easy to learn, but for some reason, I can barely find my way around.

[@Hobbit183]

dam thats interesting

[@T4l0nITA]

So c1 and c2 of yn are the same of the oscillating function of the previous video, or do I need to solve for y(0) and y'(0) the whole yc solution instead of yn ?