AngouriMath
SolveAnExponentialOverSeveralLinears(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
An exponential of a linear, or a sum of them -- which is how sinh and cosh arrive -- times a polynomial, over two or more linears each to a whole power: split into
partial fractions over the linears, and each term the one-linear question of
SolveAnExponentialOfALinearOverAPowerOfALinear(AngouriMath.Entity,AngouriMath.Entity.Variable) and
SolveAHyperbolicOfALinearOverAPowerOfALinear(AngouriMath.Entity,AngouriMath.Entity.Variable).e^x/(x (x + 1)) is
e^x/x - e^x/(x + 1) , which is Ei(x) - Ei(x + 1)/e ; the trigonometric rule
splits the same way (OverAPowerOfALinear(AngouriMath.Entity,AngouriMath.Entity.Variable,AngouriMath.Entity)). It is also what by parts leaves
ofEi(a + b x)/x^2 , e^(a + b x)/((a + b x) x) .
https://github.com/asc-community/AngouriMath/issues/1501
partial fractions over the linears, and each term the one-linear question of
SolveAnExponentialOfALinearOverAPowerOfALinear(AngouriMath.Entity,AngouriMath.Entity.Variable) and
SolveAHyperbolicOfALinearOverAPowerOfALinear(AngouriMath.Entity,AngouriMath.Entity.Variable).
splits the same way (OverAPowerOfALinear(AngouriMath.Entity,AngouriMath.Entity.Variable,AngouriMath.Entity)). It is also what by parts leaves
of
https://github.com/asc-community/AngouriMath/issues/1501
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