Solve the partial differential equation d^2u/(dxdy) = 0 for u(x,y)
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Integrate both sides with respect to x:
∂u/∂y = F(y) for some arbitrary function F
Integrate both sides with respect to y:
u(x, y) = f(y) + g(x) for some arbitrary functions f, g with f(y) = ∫ F(y) dy.
I hope this helps!
∂u/∂y = F(y) for some arbitrary function F
Integrate both sides with respect to y:
u(x, y) = f(y) + g(x) for some arbitrary functions f, g with f(y) = ∫ F(y) dy.
I hope this helps!