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Hp prime desolve polynomial
01082021 12:44 PM
I have a problem, problem is desolve
i write desolve(x*y''+(x1)*y'y=x^2,y) on the g2 but its cannot this , i get warning polynomial solution found x1 and
i get anwser
y=(x1)*((G_0*e^(x)+x^2x+1)/(x1)+G_1) but this is not true.
True is the y=(x^2+(c12)*x)+2c1+c2*e^(x)
02202021 12:36 AM
If you use expand, and then collect, to rewrite the Prime's solution you'll see it is basically the same expression.
Calculator nerd since 1980. Cryptographer by profession.
02212021 12:37 AM
Let me be a bit more clear. I press CAS first, entering in textbook mode (which I show here as algebraic, directly copied and pasted from the virtual calculator).
If you give desolve(x*y''+(x1)*y'y=x^2,y), you get as result (x1)*((G_0*e^(x)+x^2x+1)/(x1)+G_1)
If you enter expand(Ans), you get G_1*x+x^3/(x1)2*x^2/(x1)+2*x/(x1)+G_0*e^(x)/(x1)G_0*x*e^(x)/(x1)G_11/(x1) which doesn't look like progress yet.
Now enter collect(Ans) to get G_0*e^(x)+G_1*x+x^2G_1x+1 and this effectively the solution you gave.
Calculator nerd since 1980. Cryptographer by profession.

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