Separable Differential Equation, Example 2

Separable Differential Equations | Solving Step-by-Step
In this video, we tackle the problem of solving a separable differential equation: dx/dy + e^( x + y ) = 0
We walk through the process of rearranging the equation to separate the variables and then integrate to find the general solution. Separable differential equations are a fundamental concept in calculus, and this lesson provides clear steps to help you solve these types of problems with confidence.

What You Will Learn:
How to recognize and solve a separable differential equation.
Techniques for separating variables in the equation.
Integrating both sides to find the general solution.
Great for anyone studying differential equations or looking to improve their problem-solving skills in calculus!

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[randperez]

I like how you do everything step by step. Even though they are simple steps, everyone can see what you are doing. Great video!

[TheStuartCamenson]

Thank you so much for your videos! Thanks to you I aced my calc class without attending lecture and am about to do the same with my diff eqns class. You've enabled me to learn more math in less time than the UC system, so I really owe you one!

[Skeletoon]

forget goin to lectures, i should just watch all your video's and i would be able to know my entire math subject, u make it so clear. thank you so much

[eshtabarsha]

you make my life easier!!! thank you so much!! Taking math online is the worst thing you could ever done. I hate it. because of your videos I feel a lot better for my exam.

[davidvazquez]

Dude, you're stuff is so awesome. Great refresher before I start my Differential Equations course!

[patrickjmt]

i do have lots of videos :) watch them before you go to class, and you will get much more out of the lecture.

[thelovelyredcrayon]

honestly, i use your vids for everything. thank you SO much

[patrickjmt]

@r39engineering well, you could add a constant to each side; but then (for example) you could subtract the arbitrary constant on the left from the one on the right and combine that into another arbitrary constant, which I just call ' C '

[amirababymafia]

I honestly love you so much for this video. I was stuck in a question for so long and thanks to you I managed to complete this!!! Love you so freaking much. Thank

[patrickjmt]

hard to say, to me things were always about the same amount of difficulty. it is like saying: is calculus 2 harder than prealgebra? probably not, so long as you have had calculus 1 and everything before it. you do see some linear algebra, power series and other more 'advanced' ideas in a diff eq class. the problems usually require a bit more sophistication but i did not think it was that bad of a class in terms of difficulty.

[JoseRodriguez-txqz]

You're the best thing that has ever happened to any student majoring in any STEM related job. I've been watching your videos & I honestly have to say THANK Is there any place we can donate money to you? Please let me know because I would love to share my resources with you.

[patrickjmt]

@Kakashinoor well, you have mistakes in both terms; your derivative is incorrect and when subbing in, you left out the negative sign. i checked it and it does work.

[patrickjmt]

@AryaSravaka ha, no plans to get rid of them any time soon

[abdiasisibrahim]

Thank you much. Finally came across the video I was looking for

[surdana]

Are there more videos like this?? We're just touching on differential equations in my calc 2 class.

Thank you!!

[seinfan]

How far into math have you gotten? I'm taking Diff EQ right now and I'm grateful that I'm subbed to you.

[evanevan]

Thank you! Spent like 40 minutes on 4secxdy/dx=e^(y+sinx) this video was very similar and helped a lot!

[wildweston]

@patrickJMT circa 4:47, when you exponentiate e of ln (-y) shouldn't you arrive to abs val (-y) which is y?

[imperialrecker]

why did you do by part to integrate e^-y ? the answer is just divide the e^-y with the differentiation of -y. This is a trick i use.

[MrAlbashiri]

as always, you are the best and thanks for the video