golnaz

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These are questions asked by golnaz

Hello every body

i want to solve the following integal but i cant please help.

integral sqrt(a l (l - log(t) - 1) log^(l - 2)(t)×(1 - a×t/(a l log^(l - 1)(t)))/t^2) dt

 

Hello every body i need help with my program. how can i plot r&s versus each other?



 

restart

with(plots):

with(PDEtools, casesplit, declare)

[casesplit, declare]

(1)

with(DEtools, gensys)

[gensys]

(2)

declare((Omega, H)(z));

Omega(z)*`will now be displayed as`*Omega

 

H(z)*`will now be displayed as`*H

(3)

`ε` := -1

-1

(4)

h := 70

70

(5)

r := 0.3e-3

0.3e-3

(6)

n := 42

42

(7)

``

``

ode1 := -(diff(Omega(z), z))+Omega(z)*((3*(1-2*`ε`*h*sqrt(r)/H(z)-Omega(z)+2*Omega(z)^(3/2)/(3*n)))*(1+h*`ε`*sqrt(r)/sqrt(h^2*r+H(z)^2*(1-2*`ε`*h*sqrt(r)/H(z))))-2*sqrt(Omega(z))/n)/(1+z) = 0:

ode2 := -(diff(H(z), z))-(3*H(z)*(1/2))*(1-2*`ε`*h*sqrt(r)/H(z)-Omega(z)+2*Omega(z)^(3/2)/(3*n))*(1+h*`ε`*sqrt(r)/sqrt(h^2*r+H(z)^2*(1-2*`ε`*h*sqrt(r)/H(z))))/(1+z) = 0:

q := -1+(3/2*(1-2*`ε`*h*sqrt(r)/H(z)-Omega(z)+2*Omega(z)^(3/2)/(3*n)))*(1+h*`ε`*sqrt(r)/sqrt(h^2*r+H(z)^2*(1-2*`ε`*h*sqrt(r)/H(z)))):

``

sys := {ode1, ode2}


ics := {H(0) = h, Omega(0) = .77}:
sol := dsolve(`union`(sys, ics), numeric, output = listprocedure, stiff = true):``

 

 

 

 

 

r2 := q+2*q^2+(1+z)*(diff(q, z)):

``

``

s := (r2-1)/(3*(q-1/2)):

 

 

 

 



 

Download rs.mw
 

 

 



 

Download rs.mw

 

Dear all

i want to plot this equation can someone help me

v=beta^(-1)(f/2)

beta=(t^(0.5);1/5,1/2)

beta is beta function i want to plot v wrt f

thanks

hello every body

how can i solve this equation with respect to z

a, b are constants

3a(1+z)^2=2(a(1+z)^3+b)^(1/2)

Hello every body

I wrote a program and i need to inverse a matrix but i get "error (in linear algebra:- matrix inverse)" singular matrix

can you help me to do that. the matrix is:

Matrix([[1.0000, 0.7056, 0.7965, 0.6928, 0.5941, 0.5169], [0.7056, 1.0000, 0.5653, 0.6449, 0.4601, 0.4376], [0.7965, 0.5653, 1.0000, 0.5521, 0.5526, 0.4153], [0.6928, 0.6449, 0.5521, 1.0000, 0.4271, 0.4242], [0.5941, 0.4601, 0.5526, 0.4271, 1.0000, 0.2999], [0.5169, 0.4376, 0.4153, 0.4242, 0.2999, 1.0000]])

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