Differential Equations: Lecture 2.5 Solutions by Substitutions

This is basically,
- Homogeneous Differential Equations
- Bernoulli Differential Equations
- DE's of the form dy/dx = f(Ax + By + C)

This course uses Zill's book on DE's, this is my review of the book,

Here is my DE lecture playlist,

Here is my DE playlist(shorter videos),

I hope this video helps someone.

[ramialtai]

I had to pause the lecture and come down to write this comment..
at 51:00, compared to my experience.. if someone asked about such a thing in my class, he/she would've been humiliated and told to go back and retake calc1, cuz he/she should've failed it or something mean along these lines, by the professor:)..
I really appreciate the way you respond to student's questions, and how friendly and inviting your class environment is!
You gave me hope in mathematicians, and brought back my the math love that I lost since my freshman year in Computer engineering!!
Thank you!!

[kobyweber]

I love this learning environment! The enthusiasm brought by the professor makes the material easier to learn. Unfortunately my diff eq teacher is difficult to understand and I learn very little during lectures. In the future I plan to watch these as well as my own lectures! Thank you sir!

[aroojtayyaba.r]

uff absolute masterpiece, y'all i got 49/50 , thank you so much sir

[shanesink]

this dude is great.. wish my DE teacher was like this
appreciate the knowledge!!

[ryant]

Love your videos. They have helped me so much through this online learning. Thank you.

[VictorAlfarochannel]

Got my final tomorrow and I'm going through all of your videos as a review! Thank you so much for being such an enthusiastic professor, you make me enjoy my study time.

[kareemakram]

40:02 Bernoulli's 00:00 homogenous 1:14:52 f(ax+by+c)

[Bravo_L]

I love the energy and feel of the class. Professor Leonard amazing but his vids drag sometimes. MS over here quick to the point and very vibrant!!!

[aaroncurtis-johnston]

you are an amazing teacher and i love the energy and enthusiasm that you have. My prof. rn could learn so much from you. and tbh the best lecture ive found on you tube for DE

[rabidrabbitmeow]

Wow. I wish The Math Sorcerer was my professor for every math course. This guy is incredible!

[papajetta]

This entire playlist is a God send for a very challenging class to digest through the book alone. Thank you

[Adam_mohammed_]

Thanks for making this lesson comprehensive and understandable. Truly your illustrated steps in each of these three forms of substitution made them solvable. God bless you!

[SequinBrain]

Thanks for the part from 0:00-(~4:41), since the book didn't feel like explaining this barely mentioned property, which puts the entire concept into a much more digestible form.

[icypotatoes]

Protect this man with all your might. Much love from South Africa❤

[Bubs.]

These are awesome lectures! Would love to be in the class, but it’s fun to supplement my current classes with this

[sarahmalik]

you got such a happy vibe, love watching your video lectures . I'm learning a lot

[robcleaver]

At the end around 1hr 32 it seems a lot easier to do the integral du/(1+cos u) by using the trig identity 1+cos u = 2cos^2(u/2) which leads to an easy integral leading to x = tan(u/2)+c and you end up with an explicit solution to the original diff equation dy/dx = cos(x+y) etc

[viniciusevangelista]

Thank's so much teacher, one of the best teacher I ever seen, brazillians studens love you!

[NoOne-mxnx]

Very very very very very good, thank you very much.

[mokamoka]

I wish my DE professor teaches same way u do. however, teaching is skill first. I love the environment. THANK