AngouriMath
SolveByTheExponentAsTheVariable(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean)
Method (no overloads)
Summary
An exponential of a polynomial beside the polynomial's derivative, with the rest a
function of the polynomial:G^P k P' f(P) is k G^u f(u) under u = P .
Rubi's 2.3,e^(a + b x + c x^2) (b + 2 c x) (a + b x + c x^2)^(n/2) .
https://github.com/asc-community/AngouriMath/issues/1501
function of the polynomial:
Rubi's 2.3,
https://github.com/asc-community/AngouriMath/issues/1501
Remarks
SolveBySubstitution(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Boolean) reads this u and does not reach it: for its
own search it writes an exponential of a sum as a product of exponentials, so that
e^(e^x) e^x is e^u du , and e^(a + b x + c x^2) is then
e^a e^(b x) e^(c x^2) , with no P left in it to replace. Declining took
it 24 s. Only a polynomial of degree two or more, whose derivative is a factor of its
own: an exponential of a linear is the table's.
own search it writes an exponential of a sum as a product of exponentials, so that
it 24 s. Only a polynomial of degree two or more, whose derivative is a factor of its
own: an exponential of a linear is the table's.
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