Solving a complicated nonlinear equation numerically

January 01 2012 by yewslyewsl 5
false
Maple 14

0


I need to solve the below nonlinear equation for n numerically, assuming taut and taum are between zero and one, not inclusive of zero and one. 

I first used "solve(EQN,n, useassumptions)assuming taum>0, taum<1, taut>0, taut<1;", but no solution was generated. I thus removed useassumptions, and used "solve(EQN,n);", but I received the message "Warning, solutions may have been lost" from Maple. How to solve this problem?

EQN := 5.915635290*10^18905*n*(ln((.1974600000*(4.137221948*10^9-3.187977881*10^9*n+3.579712132*10^9*n*taum+2.049414400*10^9*n*taut-5.560674900*10^9*taum-5.560674900*10^9*taut))/(-2.065539727*10^9*n+2.333329620*10^9*n*taum+1.372164917*10^9*n*taut+2.519530558*10^9-3.492604298*10^9*taum-3.723094273*10^9*taut))/((5.012372749*10^6989-1.379404981*10^6989*n)^(7447/10000)*taum))^(10000/2753)-319.9820565*ln((19746.*(4.137221948*10^11-3.187977881*10^11*n+3.579712132*10^11*n*taum+2.049414400*10^11*n*taut-5.560674900*10^11*taum-5.560674900*10^11*taut))/(-2.065539727*10^16*n+2.333329620*10^16*n*taum+1.372164917*10^16*n*taut+2.519530558*10^16-3.492604298*10^16*taum-3.723094273*10^16*taut))/taum = 0

 Thanks.

 

 

 
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