Applications of First Order Differential Equations - Mixing Concentrations 2

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Mathispower4u

Mathispower4u

Күн бұрын

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@Mathispower4u
@Mathispower4u 12 жыл бұрын
Thank you for the message. There was one (300-t) that should have been 300+t. I annotated the correction. R2 should be 3/(300+t) because the amount of liquid in increasing by 1 gallon each minute since the inflow rate is higher than the outflow rate.
@matthewrocky1888
@matthewrocky1888 3 жыл бұрын
I realize it is quite randomly asking but do anybody know a good site to stream new movies online?
@zaynemaxwell5169
@zaynemaxwell5169 3 жыл бұрын
@Matthew Rocky try Flixzone. You can find it by googling =)
@bridgerzeke3694
@bridgerzeke3694 3 жыл бұрын
@Matthew Rocky I would suggest flixzone. Just search on google for it =)
@robertsonjoshua87
@robertsonjoshua87 3 жыл бұрын
Thank you sir! You have no idea how much this helped!
@ODogg870
@ODogg870 9 жыл бұрын
When integrating after multiplying the integrating factor through the equation, you do not need the additional dt on the left-hand side of the equation... It is understood that the derivative with respect to t, (d/dt), is the portion of the equation being integrated.
@SkOSn123
@SkOSn123 7 жыл бұрын
Thanks for the clear explanation. Subscribed and appreciation from Singapore :)
@vvhead
@vvhead 11 жыл бұрын
Thank You! This was very helpful for reviewing before an exam.
@slamtoo4582
@slamtoo4582 10 жыл бұрын
i got the extra gallon added to the tank over time but why you replaced it with (t?) Thank you.
@ericoduroboateng5269
@ericoduroboateng5269 4 ай бұрын
Pls can u explain Hy u had 300+t
@AhmadNAlshammariKU
@AhmadNAlshammariKU 12 жыл бұрын
I just wanna thank you because I understand the modeling of first order differential equations.. I will appreciate it to do some problems for economic or finance ... because they kinda different.. and I don't get it thank you !!
@josecohen3121
@josecohen3121 7 жыл бұрын
I really enjoyed your video thanks! just one quick question if you get a chance, right before you made an integrating factor couldnt you have just separated the equation? or is it was 8 + the rest of the right side it was non separable?
@UnbornAssassin7
@UnbornAssassin7 7 жыл бұрын
It is not a seperable eqn
@abal4lyf
@abal4lyf 8 жыл бұрын
great explanation! Thanks
@dv5855
@dv5855 7 жыл бұрын
Excellent presentation. Thank you.
@kimbryanduenas
@kimbryanduenas 7 жыл бұрын
If you substitute infinity to t, you will also get infinity because of the +2t. I think the differential equation should have a cap of 600 lbs since the liquid pumped in has aconcentration of 2lbs/gal. At time equals infinity, the tank would have overflowed and the overflowing mixture will have a concentration of 2lbs/gal.
@danialdunson
@danialdunson 5 жыл бұрын
You need to make a playlist... your videos rarely come up on youtube recommended.
@sebastianlopespereira1696
@sebastianlopespereira1696 12 жыл бұрын
im sorry around 7:40 you simplify your eqn, but im struggling to see how this is simplified.. to me it looks like a mistake .. but i could very well be wrong (Left hand side, 2nd line from the bottom) pls confirm
@neilrayno5437
@neilrayno5437 10 жыл бұрын
i dont understand why t (which is time) is added to 300 (which is a volume)
@puravpatel0926
@puravpatel0926 10 жыл бұрын
the inflow rate is 4gal and outflow is 3gal so the net change in the tank is +1, over time there is more water coming in the tank than leaving. If the inflow was 3gal and outflow was 4gal then the net change in the tank would be -1, and eventually the tank would have no more water. Does that help?
@MsLouloulepou
@MsLouloulepou 11 жыл бұрын
Thank you so much. It was very well-explained :)
@AhmadNAlshammariKU
@AhmadNAlshammariKU 12 жыл бұрын
Sir thanks for the video but i think you had a mistake it should've been (3/300-t) and thanks .. that was really helpful
@taylorlewis4197
@taylorlewis4197 10 ай бұрын
thank you.
@Mathispower4u
@Mathispower4u 10 ай бұрын
You are very welcome!
@mahbubulhaque3137
@mahbubulhaque3137 4 жыл бұрын
great............
@sebastianlopespereira1696
@sebastianlopespereira1696 12 жыл бұрын
i think d/dt should be replaced with (d/dt)+(3/(300+t))... again good chance i could be wrong
@Daan87423
@Daan87423 7 жыл бұрын
Gallons :(
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