Differential Equations/Expert Profile

Abe Mantell

On Vacation
returns 12/24/2009
Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience in the area

Over 15 years teaching at the college level.

Organizations

NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials

B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

Average Ratings

Recent Reviews from Users

Read More Comments

    K = Knowledgeability    C = Clarity of Response    T = Timeliness    P = Politeness
UserDateKCTPComments
Grisel07/26/0910101010Thanks!! that was very helpful
Warm07/11/0910101010Thanks
Dan01/14/0910101010 
Ambika07/23/0810101010Thanks for your answer.
Cheryl07/10/0810101010 I feel dumb. For some reason .....

Recent Answers from Abe Mantell

2009-07-15 Simultaneous differential equations:

Hello Debraj, Sorry for my delay. I tried to get my CAS (computer algebra system), Maple 12, to solve your system of DE's...but it failed. Perhaps if you could furnish some actual values for the

2009-07-10 Differential equation:

dV/dt=20-k*h^2, based on the info given in the problem. However, V=(4/3)h^3, thus, dV/dt=4*h^2*dh/dt. Now substitute that into the first equation to get: 4*h^2*dh/dt=20-k*h^2. Dividing by 4*h^2 yields:

2009-06-06 Differential Equation, Solutions:

1. Re-written as: y'' + (x^2-1)/(x^2(x+1)) y' - y/(x^2(x+1)) = 0 . Singular points where x^2(x+1)=0...thus x=0 and x=-1 are singular pts. . Since lim (as x->0) x[(x^2-1)/(x^2(x+1))] DNE, x=0 is an

2009-05-31 Maths2:

Let y=e^(rx), so we get the characteristic equation: r^2-4r+4=0 ==> (r-2)(r-2)=0 ==> r=2,2 Repeated root, so the general solution is: y(x)=(A+Bx)e^(2x) Now impose the IC's: y(0)=0 ==> 0=(A+0)e^0

2009-01-05 integrate eq:

Hello, Wow, that's a tough one! Let me just make sure, the problem is: Integrate[dx/(e^(-k1*x)+k2*x+k3)] - yes? If so, then I'm afraid I cannot help, even Maple 12 and Mathematica could not

 

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