Math: Partial Differential Eqn. - Ch.1: Introduction (19 of 42) First Order PDE: Example 1

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In this video I will find u=f(x,y)=? given the partial differential equation x(partial(u)/partial(x))+3u=x^2. (Note: this equation does not have term “partial(u)/partial(y)”.

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I didn’t understand the step of using an exact equation.

PaulQuelet

Bless you heart Sir. That hasnt been easy to comprehend at all. Still spinning my head at many steps. Thank you so much <3
shouldnt there be a minus sign at the to be exact step?
Also in the to be exact step it seemed that it is function was diffrentiated in respect to X and not to U, when it shous be to U. IMaybe I have to revise my differentiation lectures XD

ahmedal-ebrashy

I don't think it ended up mattering in the end, but after recognizing the product rule you wrote that it was the partial w.r.t. u and not partial w.r.t X.

the_mackdaddy

You lost me on this one. I dont understand what happened after the "TO BE EXACT" part either. Thanks you for going over first order my teacher completely skipped it and went to second order.

turboleggy

How is m = 3? If you plug in m=3, you get 3x^2=x

MiguelFernandez-ixmi

Do equations like this arise often in physics?

gevodem

When we integrate x^4 shouldn't there also be a constant of integration C? Or does that become a part of the final integration function f(y) ?

AL-knyx

Well, im not the only one who doesnt understand this

arkyin

I'm sorry but it explained not well

wwoww

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