Differential Equations/Expert Profile

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Recent Answers from Abe Mantell

2012-01-06 Solving polynomial simultaneous equations using matrices:

Hello James,    The three data points you have slected give the three linear equations for a,b, and c.    For the RREF (Reduced Row Echelon Form) algorithm by using "elementary row operations"  check these

2011-08-05 what substitution should i make?:

Hello Jay,    For the DE:  yy' =(x-1)e^(-y^2), it is separable!    ==> y dy/dx = (x-1) e^(-y^2), multiply by e^(y^2)  ==> ye^(y^2) dy/dx = (x-1)  ==> ye^(y^2) dy = (x-1) dx, now antidifferentiate both

2011-08-03 rational expressions:

Hello Jenifer,    Factor!    r^2-5r+6 = (r-3)(r-2)  r^2-4 = (r+2)(r-2)    So, the ratio is:  (r-3)(r-2)  ----------, which simplifies to  (r+2)(r-2)    r-3  ---, for r not equal to 2.  r+2    So, you are

2011-07-21 Ordinary differential equaitons:

Hello Jason,    Yes, I see what you mean.  Instead, try the following...  Notice we can rewrite the DE as:  dy/dx = y/x + 2*(x/y)*x^2*cos(x^2), now let u=y/x, so that y=xu  and dy/dx=u+x*du/dx, so the

2011-06-26 Please Help Solve!:

Hello Andrew,    Start by letting y(x)=SIGMA(a_n x^n, n=0 to infinity), as usual,  then use the power series for e^x, i.e. e^x=SIGMA(x^n/n!,n=0 to infinity)...    Can you take it from there?    Here are