@Carl Love  Thank you professor for your reply. If a partial differential equation having 3 dependent variables u,v,w and 3 independent variables x,y,t.

>dx/f(x,y,t)=dy/g(x,y,t)=dt/h(x,y,t)=du/p(x,y,t)=dv/q(x,y,t)=dw/r(x,y,t)

The above is Langrange form for solving first order partial differential equation. I think this form is sufficient for you. Please help me to find it.

Thank you

@nm  Yes, I need only a final answer (not step by step).

@tomleslie  

Thank you so much professor for helping me. I am respecting you and your helping nature.

Thank you

@Rouben Rostamian  Thank you. Suppose the first order partial differential equation is

maple.pdf

@ecterrab Thank you

@Thomas Richard Thank you for sharing it. But I think this code is not suitable for Lie subalgebra. Please share if you have anything else.

Respected professor , i need Invariant solution by Lie symmetry method by MAPLE

Respected professor , I need to find similarity variable (by characterstics or other ) after finding infinitesimals.