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Partial Differential Equation

 
 
aksara7
 
Reply Wed 11 May, 2022 02:20 pm
I know this should be simple but I'm having trouble:

d^2u/(dxdy) + du/dx = 0, where u = u(x,y)

I'm trying to find the general solution, so there should be two constants in the final equation.
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ascribbler
 
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Reply Thu 12 May, 2022 02:48 am
@aksara7,
If d^2u/(dxdy) + du/dx = 0, where u = u(x,y)

Then d^2u/(dxdy) = - du/dx

Integrate with respect to x and obtain du/dy = -u + C

Then integrate with respect to y
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