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MaplePrimes Activity

These are questions asked by Al86

I have the following question, plot the graph of mu=5*log_10(D_L/10) where D_L=(c/H_0)*\int_0^z dz'/[A(1+z')^4+B(1+z)^3+C]^{1/2} with resepct to z, where A,B,C are numerical values given beforehand, and c is the speed of light and H_0 is the current Hubble constant.


Can someone please help with this simple plotting assignment.


Thanks, just by experience, can I learnt these syntax languages.


Peace out!


Can someone help me with the following question?


I would like to plot the function f(x)=a*x*(1-x)+x*ln(x)+(1-x)ln(1-x) in the interval [x1,x2], where x1 and x2 are points that satisfy the following: df/dx(x=x1)=df/dx(x=x2)=0 and f(x1)=f(x2), where a is some parameter that is greater than 0.

I guess I need to use here fsolve, but I am not sure how.

I have the following simple dsolve code:

ode := diff(y(x), x, x) + (n*pi)^2*y(x) = A^3*sin(n*pi*x)^3;
dsol1 := dsolve({ode, y(0) = 0, y(1) = 0}, y(x));


How to declare that n is an integer here?




I have this polynomial equation: (x-2)^2*(x-3)+epsilon =0, I want to draw a bifurcation diagram in the (epsilon , x) plane.


How to implement this in maple 2018?




I have the following ODE perturbation problem which I want maple to solve for me:



where q(\tau)=q_0(\tau)+eps*q_1(\tau)




I want maple to expand every function that depends on eps in its arguments by a Taylor series around eps=0, i.e h(eps)=h(0)+eps*h'(0)

and also expand the difference above the fs with an eps-expansion around eps=0.

I did all this manually now I want to check if my calculations are correct, eventaully I want to equate same powers of eps of the RHS and LHS of the first ODE I wrote above.


Then how to use maple for this?



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