Hello I start my research work recently. I ask that how we find the unknown From system of algebric eq of nonlinear PDS of higher order which was obtained by applying differaent f
Transformation or methods using Mathematica I use the comment
Solve[{experision 1, ,,,,},{unknowns}] but I can not find the values of them .
You may solve the first three equations online like here (or, see the screenshot attachment) - you get symbolic solutions
https://www.wolframalpha.com/input?i=solve+-24*%28k-1%29%5E3*B*X+%2B+12*%28k-1%29*B*B+%3D+0%2C+-6*%28k-1%29%5E3*A*X+%2B+18*%28k-1%29*A*B+%3D+0%2C++8*%28k-1%29%5E3*B+%2B+12*%28k-1%29*C*B+%2B6*%28k-1%29A%5E2%2B2w*B%3D0%2C++++for+A%2C+B+and+w
and, then check which solution satisfies the 4th equation ...
(where, in online notations: A=A1, B=A2, C=A0)
good luck
(Debug) In[1]:= Solve[{-24 (k - 1)^3 A2 X + 12 (k - 1) A2^2 ==
0, -6 (k - 1)^3 A1 X + 18 (k - 1) A1 A2 == 0,
8 (k - 1)^3 A2 + 12 (k - 1) A0 A2 + 6 (k - 1) A1^2 + 2 w A2 ==
0}, {A0, A1, A2}]
(Debug) During evaluation of In[1]:= Solve::svars: Equations may not give solutions for all "solve" variables. >>
(Debug) Out[1]= {{A1 -> 0,
A2 -> 0}, {A0 -> (4 - 12 k + 12 k^2 - 4 k^3 - w)/(6 (-1 + k)),
A1 -> 0, A2 -> 2 (X - 2 k X + k^2 X)}}
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