Differential Equations - 24 - 2nd Order - Complex Roots (r=a+bi)

[@srideepthiborra9478]

You are awesome. I've never seen someone this clearly explaining Differential equations.

[@ireneludovick9527]

Good work mathematician comments from Tanzania i like this wonderful solution

[@mollypete4270]

at 3:37 how do you put in that form for Euler's formula?

[@carterfortuin]

Great stuff here. Has really help wrap up ideas in Diffeq. Test in 5 hours

[@TheLazyEngineer]

Any last minute questions?! lol

[@NK-iy6if]

The way of explanation is so helpfulll

[@jacksonmadison9994]

if we're given initial condition for y and y' how do we do the y' as far as the signs go? should it be like y = e^(at) (c1 * cos(bt) + c2 * sin(bt) ) y' = te^(at) * (c1 * cos(bt) + c2 * sin(bt) ) + e^(at) * (c1 * sin (bt) + c2 * cos(bt) )

[@enashameed471]

Thanks جزاك الله خيرا

[@elfishpirate2918]

Thank you so much for making these videos, I find them very helpful as I'm currently studying simple harmonic motion with damping. If you can make a video correlating solving 2nd order homogenous constant coefficient linear differential equations with the general differential equation of simple harmonic motion with damping, that would be really cool of you. Again, thank you so much, these videos are much appreciated!

[@muntahafaisal8853]

If we have 2y''-12y'+20y=40 then please tell me the solution because according to this answer is Y=e^3t(c cost+c sint)

[@preethiravi7703]

Why do you need to write the solution in terms of Y a and Y b and then superimpose them to general solution y?

[@TheLazyEngineer]

Preethi Ravi you don’t have to! But if you don’t your constants will be complex numbers. So it’s just a matter of convenience!

[@rocketpsyence]

THANK you. I was going nuts with other videos just showing the final formula without showing where it came from.

[@NK-iy6if]

Thank you so much 🙏🏽

[@General12th]

Thank you for making these videos. I'm glad you could cover everything there is to know about differential equations.

[@TheLazyEngineer]

+J.J. Shank haven't concluded this series yet! I'll put out a couple more this week for ya. Haven't been really sticking to a schedule for this series

[@engineering97]

Good 👍

[@lindelanimahlambi3543]

you made this simple man THANK YOU

[@mazenosama8558]

@The Lazy Engineer ... your videos are awesome :D ..you are really a wonderful person..thank you so much.. may i ask..what software are you using for making your videos ? the one for writing and the one for screen casting

[@TheLazyEngineer]

hey thanks! I use Camtasia screen recorder and SmoothDraw with wacom touch pen tablet to capture my writing.

[@mileslegend]

More examples please

[@alvaromendoza3337]

Well explained. Thanks!

[@CaptainMoroni9]

Taking Circuits 1 EEE202, as a Junior Mech. Eng., super helpful thank you!

[@TheBillzilla]

Well I pretty much didn't understand any of that.

[@enashameed471]

❤❤❤❤

[@mollypete4270]

oh wait nvm, I get it.

[@captainlaser-eyes6065]

He needs a pop filter

[@TheLazyEngineer]

Captain Laser-Eyes I’m open to donations!! Hahah

[@captainlaser-eyes6065]

@@TheLazyEngineer lol I am getting one myself