Mister Exam

u(xx)+2u(xy)+u(yy)+5u(x)+5u(y)=0 canonical form

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   2      2                              
u*x  + u*y  + 5*u*x + 5*u*y + 2*u*x*y = 0
$$u x^{2} + 2 u x y + 5 u x + u y^{2} + 5 u y = 0$$
u*x^2 + 2*u*x*y + 5*u*x + u*y^2 + 5*u*y = 0