MaplePrimes - Maple 12 Posts and Questions

Riccati equation

Zeineb — Mon, 19 May 2025 22:52:36 Z

Dear all

I get error when solving Riccati equation. I want to get six different solution.

thank you for your help

Compute integral exactly

Zeineb — Sun, 27 Apr 2025 22:34:08 Z

Dear all
I have a double integral, i want to compute this integral and verify if the pproposed solution verify the proposed equation or not.
I can modify the right hand side of my equation or the exact solution, so that my equation has an exact solution with simple form of right hand side.

exact_solution.mw

Thank you for your help

I want to simplify G_{ti} expression in a simple way in terms of taking v_r^2 ,v_theta^2,v_phi^2 common

Deeshani — Sun, 29 Jan 2023 20:41:51 Z

I want to take v_{r} , v_{theta}, and v_{pi} common out of this expression and I want to simplify in a more simplify way. The maple sheet is attached below:metriccalculaions.mw

G[ti] := -(v[r]*`cosθ`*`cosφ`+v[r]*`cosθ`*`sinφ`+v[r]*`sinθ`)*rho*(-c^2+(1-A)*(v[r]^2+v[theta]^2+v[phi]^2-(v[r]*`cosθ`*`cosφ`)^2-(v[r]*`cosθ`*`sinφ`)^2-(v[r]*`sinθ`)^2))/(A*c^3)

Can't able to find $rho_{1}$ please help

Deeshani — Tue, 01 Nov 2022 06:34:54 Z

solve((&PartialD;(- ∇(f) ))/(&PartialD; t)+((DotProduct(v[0],∇f))*(1-e(DotProduct(B,Omega)))+(c[s0]^(2)*rho[1])/(rho[0])(1-e(DotProduct(B,Omega)))+e(CrossProduct(∇ f,B))*Omega-e((DotProduct(-∇f,Omega))*(DotProduct(B,∇)))*(-∇f)+e(E)*(1-(DotProduct(B,Omega)))+e^(2)(DotProduct(E,B))*Omega-e*((CrossProduct(E,Omega))*(∇(-∇f)),rho[1]);

How to plot piecewise function?

Deeshani — Fri, 19 Aug 2022 19:44:11 Z

eval.mw This is the maple worksheet The regions are u<=-1, -1<=u<=1,u>=1

How to plot multivalued function ?

Deeshani — Wed, 17 Aug 2022 10:23:18 Z

how to plot multivalued function in the region from -a to a solving 2nd order ode in maple ?

d^x/du^2+1/2sech^2(u)*x(u)=0 . I have to find out the analytical value in three different regions like u<=-a , -a<=u<=a , u>=a . How to find out ?