non-linear and non homogen equation second-order..

1.) y"+y^2 = x^4 + 2

with 0<x<1, y(0)=0, y(1)=1

2.) y"+y^2 = -b*y^2 * y'

with y(0)=1, y'(0)=0 and b=0.1 ; 0.3 ; 0.5 ; 0.7

how to solve thats??

thanks in advance.

Good afternoon Professor.

I am M.Anand working for SRIIT, as Assistant Professor in Mathematics in Hyderabad, INDIA.

I request you to help me How to write c-programming codes to solve the linear system by using Gaussian elimination, conjugate gradient method without preconditioning and Conjugate gradient method with preconditioning?

With thanks & regards.

M.Anand

Assistant professor in Mathematics

Hi everyone. Long time reader, first time poster.

I have a rather nasty function that I need to use in various calculations (namely, one of them is a numerical integration). But, even evaluating this function at a given point takes exceedingly long (several seconds to tens, maybe even hundreds of seconds!). Is there any way I can make maple do all of the calculations numerically instead of doing all but the last evalf symbolically? I think that may be the problem. Anyway, here is my defined function:

Hi, Everybody:

It is possible to fin this result with Maple:

Factor[18*R*r - 3*s^2 + 9*r^2] - >  3*(3*r^2 + 6*r*R - s^2)

i.e. factoring at least integers terms?

Thanks in advance

C.L. 

next_fib.mw

I want to find the next fib number in the sequence given an input number.

I know there are previous posts using a recurance formula...i don't want to do that.

I want my code to work like the nextprime command. but i have problems..

If the number i/p is not a fib no. .....error.  it needs to find the next actual fib no.

there is also the problem that because the...

silver_coin_braintea.mw

Experts. This is something like the subset sum problem with a twist.

Jane has some Australian silver coins in her pocket. When buying an apple, she
realises she has more than $1 in silver coins, but can’t make exactly $1 with
her coins. How is this possible? (Silver Australian coins come in 5c, 10c, 20c,
and 50c.)

answer: obviously, you can't...

Hello folks,

simplify(max(x[1],y[1])) assuming x[1]>y[1] produces thr correct result but if we do f:=k->max(x[k],y[k]);

and try simplify(f(1)) assuming x[1]>y[1] we do not get any result.

I suspect that is something related to global versus local variables, any ideas?

A peculiar consequence of the "smartview" of plots see updates Maple16 (plotting) is that the plot of a constant function only shows the rounding errors:

plot( arcsin+arccos, -1..1 );

Obviously Maple doesn't automatically simplify arcsin(x)+arccos(x) to Pi/2.

Solve the system of equations:
,

Find

Good afternoon Professor.

I am M.Anand working for SRIIT, as Assistant Professor in Mathematics in Hyderabad, INDIA.

Is there any direct approach like Jacobi,Gauss-seidel, & SOR methods in Maple to solve a given linear system of equations by using Conjugate gradient method & Preconditioned Conjugate method.

I request you to help me out to generate Maple commands to solve.

If are the roots of the equations .
Prove that min

When executing "P, k := LyapunovSolve(A, C)" command, I got the following warning: 

"Warning, Matrices have common or very close eigenvalues; perturbed values were used to solve the equation"

Although Maple can give the solution, P and k don't satisfy the equation: 

A.P+P.A^%T-C = 0        (1)

Are there any other ways to solve the Lyapunov equation (1)?

Using ScientificConstants[GetElement] I'm supposed to get all the element constants, but I don't see the molar mass and have trouble believing that it isn't defined.

Question how do I get the molar mass of an element?

Hi everyone. Someone should pls. teach me how to plot a graph in maple. i've never done this before and I hope what I'm about to do is very much feasible. I don't have a function to plot, I'm plotting the errors from my computation against time(t) at interval 0 t 1. Someone shoukd pls. explain this for me with random values or use the sample values below .

  time           error1         error2