Differential Equations - Families of Curves Solved Problems

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Sample problems for finding the families of Curves in Differential Equations.

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[magnojoycemaries.]

Thank you po, Engr! Malaking tulong po ang playlist na ginawa niyo po❤ I've been studying it for days na ang videos niyo po. Praise God for your life❤

[abatandchill]

For number 9, the answer should be:

xyy" + x (y')^2 - yy' = 0

I just forgot to change the sign when I factored -a^2 x. Thanks!

[johnverpuno]

Thank you, Sir! Sobrang laking tulong ng video mo especially ngayon na online class at halos puro self-study ang mga students ngayon. More power po!

[marchbayona]

Very Helpful po lalo nat midterm namin ngayon.
2nd Year ECE college student here.😊😊

[larrjoshuagallos]

I am so thankful sa isang online friend ko na nagsuggest po sa inyo hahaha prof niya daw po kayo and ang galing magturo, , , and yet here I am listening and learning at the same timeee! Thank you po sir!

[softboykid]

Super helpful! I also noticed that it is easier in no.7 to just multiply the negative sign in the problem (x - (x- y'/y'')^2 in order to simply cancel the variable x which will have a similar result!

[muhammadaqeeldar]

I found ur Videos yesterday and it is the best day for my Engineering Mathematics. In this Video if you would have made a figure for every question especially Parabolas and circles that would hav been helpful. But Still Thank you.

[shayne_]

Hello sir. You made differential equations easier for me. Thank you for sharing your knowledge here. (I don't skip any ads in your videos because you deserve it😊😊)

[lavarezjanekolinm.]

Thankyou po Engr! Malaking tulong. ❤ I'm taking BS ECE po. 2nd year college na hehe share ko lang😂

[marclxmn]

Sir laking tulong po, sana mas maraming samples papo! Thankyouu sir

[gwynethsalting]

Such a big help sir :) I have a quiz tomorrow and I'm having difficulties understanding the topic and because of your vid, I learned so much 😍 Thank youu very much 😊

[harmony]

Thank you thank you! I learned so much from you, i hope i pass my exam about this topic tomorrow.

[odyson]

Thank you so much po! Laking tulong po nito sa online class namin! God bless po ♥️

[yayheyiyoyuu]

The contents of your channel are very informative. Watching your videos is a great way for STEM and Engineering students learn better, especially for topics that are not clear to them. I will definitely recommend your channel to STEM students in our school. Keep it up, sir!

[vortexmonster]

Concern po ako in number 2, can you just divide the (y')^3 to (y')^2 since it is in the same degree? In executing that, it will give you xy''-2y'=0 as a final answer. Also I don't get where the denominator went when you cross multiplied it. Did you just multiplied it to zero sir?

[dominicgranada]

sir i have a question. in number 3 the equation is y =mx + b but since the m = b then y = mx+ m now, my question is there are two arbitrary constant right? but you only just differentiate it once is it because as long as the constant are equal then it means that it is only counted as one constant? is that why you only derive it once?

[Pansit]

Hi sir just want to clarify, I noticed in number 9 at 40:48 you factored the

-a^2 x in the equation -a^2 xyy'' -a^2 x(y')^2 +a^2 yy' = 0

but shouldn't the answer be like this:

**-a^2 x [yy'' + (y')^2] + a^2 yy' = 0** ?

In the video, the answer you wrote was

-a^2 x [yy'' - (y')^2] + a^2 yy' = 0

[stanpentagon]

sa number 1 po, hindi po ba dapat x^2 = 4ay? given V(0, 0) and opens upward or downward since nasa y-axis ang foci niya we'll get (x-0)^2 = 4a(y-k) ---> x^2 = 4ay ... please do correct me if i'm wrong.

[danilocuarteros]

Godbless you Sir 🙏😇❤️ thank you for sharing your knowledge

[indoorpond]

Question: how do you graph these equations? Like in the first example how do you plot that?