How to find $L_x L_y L_t \{(\frac{\partial}{\partial x}- \frac{\partial}{\partial y}- \frac{\partial}{\partial t}) f(x,y,t)\}$? I have obtained $(s_1-s_2-s_3)F(s_1,s_2,s_3)+F(s_1,0,s_3)+F(0,s_2,s_3)-F(s_1,s_2,0)$ where $s_1,s_2,s_3$ are transform variables of $x,y,t$ respectively. whether I am correct or not I am sure?
2026-04-09 13:22:54.1775740974
Triple Laplace transform of a first order partial differential equation
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