Question

Help please:
Solve the following system of partial differential equations for u(x,y):
∂u/∂y=2xyu
∂u/∂x=(y^2+5)u

Answer 1

i understand differentials... just not when they're a point on a graph

Answer 2

@jim_thompson5910 hey guys @mathslover any ideas @Preetha pretty please...?

Answer 3

@kropot72 @Luis_Rivera guys would really love a hand if you could spare a few minutes...?

Answer 4

so they are giving you two partial derivatives and asking you to find the original function with it?

Answer 5

yeah, they're asking us to solve it with respect to "u"

Answer 6

so this would be like partial antiderivatives?

Answer 7

yep... with a twist: u is made up of both x and y

Answer 8

u's the point x,y on a graph, dunno whether it makes a difference but it's got me stumped

Answer 9

looks to me like u is the function varying with x and y, not the point (x,y)

Answer 10

... that would make sense

Answer 11

still have no idea where to start though
i can integrate each equation with respect to one thing, but that doesn't help

Answer 12

try integrating ∂u/∂y=2xyu with respect to y and the other one with respect to x if you can
I have almost no knowledge here, I haven't even taken multivariable calculus.

Answer 13

hmmm, so far i've got u(y) =e^(x*(y^2)) times a constant

Answer 14

and u(y) = e^( ( (y^2)/3) ) +5y ) times a constant

Answer 15

might this help?
http://tutorial.math.lamar.edu/Classes/CalcIII/Differentials.aspx

Answer 16

cheers man, i think that page clears up a lot

Answer 17

good :)
but you really figured it out yourself.