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These are replies submitted by Sradharam


I have attached please help to plot it. 

@nm  yes there is a method sinh and cosh to find exact solutions.

@Mariusz Iwaniuk

 thank you, professor. I am trying to extend it.

@Mariusz Iwaniuk thank you, professor. I did not need Homotopy but now I got some knowledge about this. I will contact If I will work on Homotopy.

Thank you

@Mariusz Iwaniuk thank you. But I need its infinite series solution.

@Preben Alsholm But in the original equation have not boundary or initial conditions. How can I take arbitrary boundary conditions? It gives a solution of g(x). Will we solve the following nonlinear single ODE-

>ode := diff(f(x), x, x, x) = (-2*diff(f(x), x)*c^2*t^2 - 6*t*diff(f(x), x, x)*c^2*e^(c*x) - 6*diff(f(x), x)*f(x)*t^2 + diff(f(x), x)*t^2)/(2*c^2*(e^(c*x))^2)

@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.


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).


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


@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.

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