Oct 27, 2013 Thread starter #1 V Vishak New member Oct 27, 2013 18 Can someone please help me with this one? I have found the equilibrium solutions,but I'm not sure what to do next. Consider dx/dt = x^3 - 4x Given a solution x(t) which satisfies the condition x(0) = 1, determine the limit(t -> infinity) of x(t). Thanks!
Can someone please help me with this one? I have found the equilibrium solutions,but I'm not sure what to do next. Consider dx/dt = x^3 - 4x Given a solution x(t) which satisfies the condition x(0) = 1, determine the limit(t -> infinity) of x(t). Thanks!
Oct 28, 2013 #2 P Prove It Well-known member MHB Math Helper Jan 26, 2012 1,403 Well what did you get for your solution?
Oct 28, 2013 Thread starter #3 V Vishak New member Oct 27, 2013 18 Prove It said: Well what did you get for your solution? Click to expand... I got the equilibrium solutions x = -2 , 2 and 0. Out out these only x = 0 is stable. Not sure where to go from here though...
Prove It said: Well what did you get for your solution? Click to expand... I got the equilibrium solutions x = -2 , 2 and 0. Out out these only x = 0 is stable. Not sure where to go from here though...
Oct 28, 2013 #4 P Prove It Well-known member MHB Math Helper Jan 26, 2012 1,403 I meant, what did you get for your solution to the DE? Hint: It's separable and can be solved using Partial Fractions.
I meant, what did you get for your solution to the DE? Hint: It's separable and can be solved using Partial Fractions.
Oct 28, 2013 Admin #5 Ackbach Indicium Physicus Staff member Jan 26, 2012 4,193 Prove It said: I meant, what did you get for your solution to the DE? Hint: It's separable and can be solved using Partial Fractions. Click to expand... It's also Bernoulli, as an alternative.
Prove It said: I meant, what did you get for your solution to the DE? Hint: It's separable and can be solved using Partial Fractions. Click to expand... It's also Bernoulli, as an alternative.
