Past exam of the probability, statistics and options I course of the University of Oxford / 2008 / K / 1 / iv

Direct differentiation gives the convective accelerationThe steady Euler equations therefore require $p_x=-\rho \sin x\cos x$ and $p_y=\rho \sin y\cos y$. Integrating both derivatives consistently givesThe additive constant is arbitrary. With a corresponding redefinition of this constant, the Bernoulli function is $p/\rho +|\mathbf{u}{|}^2/2=C_0-{\psi }^2$, making its constancy along streamlines explicit.