❖ Solving a First Order Linear Differential Equation: (1 + x)y' - xy = x + x^2 ❖

[@patrickjmt]

Big thanks to @glittercatstudios for suggesting this video and encouraging me to actually do it! And: woah Nellie, hopefully I did not make any algebra mistakes or silly mistakes this time :)

[@glittercatstudios]

You're amazing for devoting the time! ❤ I'm wondering if the solution listed is different from yours because of the way it was simplified. The solution listed was: y = -x - (2x + 3)/(x + 1) + ce^x/(x + 1) on the interval -1 < x < ∞

[@UltraMaXAtAXX]

To see you uploading again... it's like I'm in high school again. Thanks for the resources from 13 years ago, and here's to more!

[@patrickjmt]

back from the (nearly) dead!

[@Pedrunez]

I remember watching these videos 10+ years ago working towards my Mechanical Engineering degree. Crazy how fast time flies, and all to realize there are Excel tools for any math I might actually need in my career. Keep them coming for the future generations.

[@WanderingYoda]

Just here to comment, your work was really helpful in my degree. Thank you.

[@glittercatstudios]

Thanks!

[@patrickjmt]

you are too kind ;) hopefully I did it correct this time!

[@glittercatstudios]

@@patrickjmt Hey, you earned yo' money on dat one! I mentioned that in a different comment. The solution still doesn't match the one listed, so I'm wondering if maybe that is simply a matter of simplification. Grad students are the ones who do those solutions for Chegg and they seem to notoriously simplify them beyond what the professors actually want. I added the comment beneath yours.

[@janlesterdemesa7458]

hello, I just want to ask why you just put the integrated value of x²e^(-x) in 13:48 but not the xe^(-x)? Aren't we going to add them together to get their integral based from ∫(xe^(-x) + x²e^(-x)) dx ?

[@IcebreakerLci]

First

[@patrickjmt]

no, i was first.

[@glittercatstudios]

UltraMaXAtAXX beat you by 5 minutes.