# How to find P(x,y) with diff

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I am trying to solve this diff equation

u=a*x+b

v=-a*y+c*x

p=1

-dP/dy=(u*dv/dx+v*dv/dy)*p

-dP/dx=(u*du/dx+v*du/dy)*p

I want to find P(x,y) but i can not find

My code is below and i think it is absolutely wrong

syms a b c u v w x y z p Py(y) Px(x)

u=a*x+b

v=-a*y+c*x

eq=p*(u*diff(v,x)+v*diff(v,y))==-diff(Py,y)

Py(y)=dsolve(eq)

eq2=p*(u*diff(u,x)+v*diff(u,y))==-diff(Px,x)

Px(x)=dsolve(eq2)

##### 6 Comments

Alan Stevens
on 9 Sep 2020

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