Advanced Search

Question: why can't Maple solve these two linear equations?

Question:why can't Maple solve these two linear equations?

nm 9889 Maple 2023
solve user-error
December 26 2023
1

is it possible to find why Maple fails to solve these two equations in two unknowns? Has this always been the case? I do not have older versions of Maple to check. The trace shows that it found solution but then itg says no solution was found. This is very strange.

17020

> 

interface(version)

`Standard Worksheet Interface, Maple 2023.2, Windows 10, November 24 2023 Build ID 1762575`

> 

Physics:-Version()

`The "Physics Updates" version in the MapleCloud is 1622. The version installed in this computer is 1618 created 2023, November 29, 17:28 hours Pacific Time, found in the directory C:\Users\Owner\maple\toolbox\2023\Physics Updates\lib\`

> 

restart;

17020

> 

sol:=1/4*exp(-t) * (c2*(-1+exp(4*t)) + c1*(3+exp(4*t))):
expand(simplify(sol));

-(1/4)*c2/exp(t)+(1/4)*(exp(t))^3*c2+(3/4)*c1/exp(t)+(1/4)*(exp(t))^3*c1

> 

eq1:=-3=eval(sol,t=4):
expand(simplify(eq1));

-3 = (1/4)*c1*exp(12)+(1/4)*c2*exp(12)+(3/4)*exp(-4)*c1-(1/4)*exp(-4)*c2

> 

eq1:=-17=eval(diff(sol,t),t=4);
expand(simplify(eq1));

-17 = -(1/4)*exp(-4)*(c2*(-1+exp(16))+c1*(3+exp(16)))+(1/4)*exp(-4)*(4*c2*exp(16)+4*c1*exp(16))

-17 = (1/4)*exp(-4)*c2+(3/4)*c2*exp(12)-(3/4)*exp(-4)*c1+(3/4)*c1*exp(12)

> 

infolevel[solve]:=5;
solve([eq1,eq2],[c1,c2])

5

Main: Entering solver with 2 equations in 2 variables

Main: attempting to solve as a linear system

Linear: solving 2 linear equations

Algebraic: # equations is: 2

Main: Linear solver successful. Exiting solver returning 1 solution

solve: Warning: no solutions found

[]

Download unable_to_solve_2_equations_dec_26_2023.mw

For reference this is the solution given by Mathematica

 
Please Wait...