Homogeneous Differential Equations (introduction & example)

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A homogeneous differential equation is a differential equation in the form of dy/dx=G(y/x). We can convert this into a separable differential equation with the substitution u=y/x. This is an example of how we can solve differential equations by substitution.

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I forgot how much i loved blackpenredpen

moldscraper
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I love how when each semester ends, bprp always has just the right video for any mathematics course i have the next semester. Thank you for being who you are.

asasasas
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You and your david bowie ball saved me from frustration! THANKZ

stevenkelty
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So useful! I coundn't have done it without you!

Apple-sqwr
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Your teaching method is really helpful to me.
Sir, please make a video with cosx, sinx, cosy, Sony
Question like {1+xycos(xy)}dx+x Cos(xy)dy

surojitchakma
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Thankkk uuuu soooo much....
I searched loot of videos bt...
Dz video made me satisfy....

anushaanu
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In polish textbooks there is also so called generalized homogeneous equation
dy/dx=y/xf(y/x^r), where r in R
Equation in the form
can be reduced to homogeneous

holyshit
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does it always work with just y/x after all the simplification

theson
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I've come to realize that western teachings like to substitute using u=y/x while chinese textbooks prefer y=ux.... (it doens't affect the process or answer)

sollertia_
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then it will be a fun to solve them !!!

schrodingerscat
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Its vry good
Sir's smile also affects in grabing solutions

kummudsharma
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its very easy sum man !! do that sums which are mindboggling sums !!

schrodingerscat
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when he hits the marker on the board 🥰

jvg
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Hi Sir.. please help me solve this. (x^2 -xy + y^2) dx - xy dy

sharmaignejimena
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what is homogenous function can u explain .Is this method have any condition to apply

navin
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does it always work that i can have the equation written in the form dy/dx = G(y/x)

zaidabdullrahim
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5:54 please tell me what happend there?

Annosj