Coefficients Linear in Two Variables - Differential Equation

A tutorial on how to solve differential equations linear in two variables.

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For more Differential equations tutorials:

Homogeneous DE with Constant Coefficients - Auxiliary Equations (Distinct Roots):

Newton's Second Law in DE:

Mixture of non-reacting fluids:

Orthogonal Trajectories:

Continuous Compound Interest - Application of DE

Integrable combinations solutions to DE:

RC Cicruits in Application of First Order DE:

RL Circuits in Applications of First Order DE:

Laws of Growth and Decay:

Newton's Law of Cooling:

Bernoulli's Differential Equation:

Non-Exact DE made Exact using Integrating Factors:

Exact DE:

First Order Linear DE:

Homogeneous DE:

Variable Separable:

Family of curves:

Elimination of Arbitrary Constants:

Elimination of Arbitrary constants by Determinant Method:

Introduction to DE:

Thank you so much and God bless!

[abatandchill]

I didn't notice that I missed out letter "t" on the shout-out.


Hi Ms. Marion Belle from Central Mindanao University! <3

[vincejamilarin]

Hi sir. I'm also from Central Mindanao University 2nd year student taking up BS in Civil Engineering. Your video really helps a lot! Thank you sir.

[dummydummy]

Sir, bale dun sa last practice problem halos same answer po nakuha ko pero meron akong (y-1), na nanggaling sa dv/v. Tama pa rin po ba yun?

[johnkupa]

How did you remove ln() in 19:25 ? I think you took e on both sides, correct me if am wrong.

[kuromimi_]

thank u so much sirr sobra kong namotivate magaral ng calculus through the help of your tutorials☹💖

[chinkielagbas]

I really like po how you put Bible verses in every video at maraming salamat po sa DE Tutorial.It really helps po.God Bless you -future Engineer here hehehehe

[lovelyjoycelusanta]

Thanks po ♥️♥️ Sobrang dami po naming natututunan sa iyo. God bless you even more.

[Yuar-hz]

Bakit po nawala yung "ln" sa 19:28? Ginawa po bang e^(lnv^2*(z-1)^3/z+1) = e^c po?

[ernestogaddi]

Thank you po sir dahil po sainyo mababait na nag tuturo may natapos narin po ako sa DE. Next naman po statics hahahaha. God bless po sir

[remeepatriarca]

Hi Sir! Your tutorial videos helped me a lot in my DE class. You explained the topics very well and I salute you for that 😊 I hope you will get more subscribers!

[lilianbokingo]

can you provide tutorial or sample problem regarding mixing problem involving two tanks using differential equation

[nhelcawaling]

sir instead of using the homogenous in the first example pwede po gamitin yung exact DE? exact po sila eh

[danojannicoe.]

Salamat Po Engr. Abat
nakuha ko na Po yung number 3. Salamat ulit

[christinejoyzonio]

Galing nyo magturo sir, more example pa sir😄

[sinclaire]

Thank u po, sir! Happy Teacher's Day po! ❤😊

[pagulayanjohnphilipb.]

Sir, in problem no. 2 can i use dy in deriving instead of dx?

[benedictmaddara]

sir? may the answer on the last problem be:

x+y+c=-3ln(2x+3y-7) instead of 2x+2y+c=-6ln(2x+3y-7) ?

[jhunjusay]

20:10 bakit bawal rekta na substitute na z=u/v?

[priscillaaddaefrimpong]

Thank you for the explanation
Please my question for you is what if the denominator of the fraction which needs to be differentiated partially cannot be broken down

[JAdventures]

feeling ko babagsak na ko ng DE buti nlng nakita ko to xdxd tnx sir hehe