I'm trying to know what vector has a curl of ( y î - x j + 0 k) (where î, j and k are unit vector), then I made a partial differential equation system that is:

∂Vz/∂y - ∂Vy/∂z = Y

∂Vx/∂z - ∂Vz/∂x = -X

∂Vy/∂x - ∂Vx/∂y = 0

Is there any other way, or I'll have to solve for each component?

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