# Revision history [back]

You'll need to let Sage know what the independent variable is by including ivar=t in your command. Further, since you are solving a system of equations, you need to use desolve_system.

a,t = var('a,t')
x = function('x', t)
y = function('y', t)
dx2 = 0 == -diff(x,t,2)-(1-a)*((x-a)/(sqrt((x-a)^2 + y^2))^3)-a*((x+1-a)/(sqrt((x+1-a)^2 + y^2))^3)+x+2*diff(y,t,1)
dy2 = 0 == -diff(x,t,2)-(1-a)*(y/(sqrt((x-a)^2 + y^2))^3)-a*(y/(sqrt((x+1-a)^2 + y^2))^3)+y-2*diff(x,t,1)
desolve_system([dx2,dy2],[x,y],ivar=t)


This code gives an error as well.

You'll need to let Sage know what the independent variable is by including ivar=t in your command. Further, since you are solving a system of equations, you need to use desolve_system.

a,t = var('a,t')
x = function('x', t)
y = function('y', t)
dx2 = 0 == -diff(x,t,2)-(1-a)*((x-a)/(sqrt((x-a)^2 + y^2))^3)-a*((x+1-a)/(sqrt((x+1-a)^2 + y^2))^3)+x+2*diff(y,t,1)
dy2 = 0 == -diff(x,t,2)-(1-a)*(y/(sqrt((x-a)^2 + y^2))^3)-a*(y/(sqrt((x+1-a)^2 + y^2))^3)+y-2*diff(x,t,1)
desolve_system([dx2,dy2],[x,y],ivar=t)


This code gets farther but gives an error as well.well. This might be related to limitations in Maxima's inverse Laplace transform abilities.

You'll need to let Sage know what the independent variable is by including ivar=t in your command. Further, since you are solving a system of equations, you need to use desolve_system.

a,t = var('a,t')
x = function('x', t)
y = function('y', t)
dx2 = 0 == -diff(x,t,2)-(1-a)*((x-a)/(sqrt((x-a)^2 + y^2))^3)-a*((x+1-a)/(sqrt((x+1-a)^2 + y^2))^3)+x+2*diff(y,t,1)
dy2 = 0 == -diff(x,t,2)-(1-a)*(y/(sqrt((x-a)^2 -diff(y,t,2)-(1-a)*(y/(sqrt((x-a)^2 + y^2))^3)-a*(y/(sqrt((x+1-a)^2 + y^2))^3)+y-2*diff(x,t,1)
desolve_system([dx2,dy2],[x,y],ivar=t)


This code gets farther but gives an error as well. This might be related to limitations in Maxima's inverse Laplace transform abilities.