3 edited title

# Unable to solve a nonlinear set of equations with Solve

2 deleted 76 characters in body
Solve[E^(-\[Sigma]σ \[Tau]τ) k (1+T1 \[Sigma]+ T σ)^-n==Subscript[Mn == Subscript[M, 0] &&
2*E^(-\[Sigma]σ \[Tau]τ) k (1+T1 \[Sigma]+ T σ)^(-1 - n) (n T+\[Tau]+TT \[Sigma]+ \[Tau]τ + T σ τ)==Subscript[M ==
Subscript[M, 1]  &&
1/2 E^(-\[Sigma]σ \[Tau]τ) k (1+T1 \[Sigma]+ T σ)^(-2 - n) (n T^2+n^2T^2 T^2+2+ n^2 T^2 + 2 n T \[Tau]+2τ +
2 n T^2 \[Sigma]σ \[Tau]+\[Tau]^2+2τ + τ^2 + 2 T \[Sigma]σ \[Tau]^2+T^2τ^2 \[Sigma]^2+ \[Tau]^2
T^2 σ^2 τ^2)*6==Subscript[M*6 == Subscript[M, 2] && &&k
k (-(1/6) E^(-\[Sigma]σ \[Tau]τ) n (1+n1 + n) (2+n2 + n) T^3 (1+T1 \[Sigma]+ T σ)^(-3 - n) -
1/2 E^(-\[Sigma]σ \[Tau]τ) n (1+n1 + n) T^2 (1+T1 \[Sigma]+ T σ)^(-2 - n) \[Tau]τ -
1/2 E^(-\[Sigma]σ \[Tau]τ) n T (1+T1 \[Sigma]+ T σ)^(-1 - n) \[Tau]^2τ^2 -
1/6 E^(-\[Sigma]σ \[Tau]τ) (1+T1 \[Sigma]+ T σ)^-n \[Tau]^3τ^3)==Subscript[M == Subscript[M, 3], {k, T,
n,\[Tau] τ}]

Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T \[Sigma]σ)^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is -1+((1+T \[Sigma]σ)^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T \[Sigma]σ)^(-1-n))^(1/(-1-n)) == 0. >>
General::stop: Further output of Solve::incnst will be suppressed during this calculation. >>

Solve[E^(-\[Sigma] \[Tau]) k (1+T \[Sigma])^-n==Subscript[M, 0] && 2*E^(-\[Sigma] \[Tau]) k (1+T \[Sigma])^(-1-n) (n T+\[Tau]+T \[Sigma] \[Tau])==Subscript[M, 1]  && 1/2 E^(-\[Sigma] \[Tau]) k (1+T \[Sigma])^(-2-n) (n T^2+n^2 T^2+2 n T \[Tau]+2 n T^2 \[Sigma] \[Tau]+\[Tau]^2+2 T \[Sigma] \[Tau]^2+T^2 \[Sigma]^2 \[Tau]^2)*6==Subscript[M, 2]  &&k (-(1/6) E^(-\[Sigma] \[Tau]) n (1+n) (2+n) T^3 (1+T \[Sigma])^(-3-n)-1/2 E^(-\[Sigma] \[Tau]) n (1+n) T^2 (1+T \[Sigma])^(-2-n) \[Tau]-1/2 E^(-\[Sigma] \[Tau]) n T (1+T \[Sigma])^(-1-n) \[Tau]^2-1/6 E^(-\[Sigma] \[Tau]) (1+T \[Sigma])^-n \[Tau]^3)==Subscript[M, 3],{k,T,n,\[Tau]}]

Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T \[Sigma])^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is -1+((1+T \[Sigma])^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T \[Sigma])^(-1-n))^(1/(-1-n)) == 0. >>
General::stop: Further output of Solve::incnst will be suppressed during this calculation. >>

Solve[E^(-σ τ) k (1 + T σ)^-n == Subscript[M, 0] &&
2*E^(-σ τ) k (1 + T σ)^(-1 - n) (n T + τ + T σ τ) ==
Subscript[M, 1] &&
1/2 E^(-σ τ) k (1 + T σ)^(-2 - n) (n T^2 + n^2 T^2 + 2 n T τ +
2 n T^2 σ τ + τ^2 + 2 T σ τ^2 +
T^2 σ^2 τ^2)*6 == Subscript[M, 2] &&
k (-(1/6) E^(-σ τ) n (1 + n) (2 + n) T^3 (1 + T σ)^(-3 - n) -
1/2 E^(-σ τ) n (1 + n) T^2 (1 + T σ)^(-2 - n) τ -
1/2 E^(-σ τ) n T (1 + T σ)^(-1 - n) τ^2 -
1/6 E^(-σ τ) (1 + T σ)^-n τ^3) == Subscript[M, 3], {k, T,
n, τ}]

Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T σ)^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is -1+((1+T σ)^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T σ)^(-1-n))^(1/(-1-n)) == 0. >>
General::stop: Further output of Solve::incnst will be suppressed during this calculation. >>

1

# Unable to solve a nonlinear set of equations with Solve

I'm trying to solve the following equation using Mathematica 9.0.1.0 :

Solve[E^(-\[Sigma] \[Tau]) k (1+T \[Sigma])^-n==Subscript[M, 0] && 2*E^(-\[Sigma] \[Tau]) k (1+T \[Sigma])^(-1-n) (n T+\[Tau]+T \[Sigma] \[Tau])==Subscript[M, 1]  && 1/2 E^(-\[Sigma] \[Tau]) k (1+T \[Sigma])^(-2-n) (n T^2+n^2 T^2+2 n T \[Tau]+2 n T^2 \[Sigma] \[Tau]+\[Tau]^2+2 T \[Sigma] \[Tau]^2+T^2 \[Sigma]^2 \[Tau]^2)*6==Subscript[M, 2]  &&k (-(1/6) E^(-\[Sigma] \[Tau]) n (1+n) (2+n) T^3 (1+T \[Sigma])^(-3-n)-1/2 E^(-\[Sigma] \[Tau]) n (1+n) T^2 (1+T \[Sigma])^(-2-n) \[Tau]-1/2 E^(-\[Sigma] \[Tau]) n T (1+T \[Sigma])^(-1-n) \[Tau]^2-1/6 E^(-\[Sigma] \[Tau]) (1+T \[Sigma])^-n \[Tau]^3)==Subscript[M, 3],{k,T,n,\[Tau]}]


Mathematica outputs the following error:

Solve::nsmet: This system cannot be solved with the methods available to Solve. >>


And when I try to use "SolveAlwyas" instead of "Solve" I get the following errors :

Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T \[Sigma])^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is -1+((1+T \[Sigma])^n)^(1/n) == 0. >>
Solve::incnst: Inconsistent or redundant transcendental equation. After reduction, the bad equation is 1-((1+T \[Sigma])^(-1-n))^(1/(-1-n)) == 0. >>
General::stop: Further output of Solve::incnst will be suppressed during this calculation. >>


This system can be solved.

Is there any way to solve this equations with Mathematica without giving numerical values to the parameters ?