Hi everyone, I know that this system dont have analytical solutions. I want to get numerical solutions, but in function of some constants Ai. Mathematica can help me, but if somebody have idea? This equations describe a physical model

A6x + A4(y')^2 - 2A2x'' - A3xy'' + A4yy'' = 0

A5 - A3*(x')^2 - A3xx'' + A4yx'' - 2A1y'' = 0

'=(d/dt), ''=(d^2/dt^2), Ai-known constants. The initial conditions are:

x(0)=a, y(0)=0, x'(0)=0, y'(0)=0.

Thank you in advance!!!

Hi everyone, I know that this system dont have analytical solutions. I want to get numerical solutions, but in function of some constants $A_i$. Mathematica can help me, but if somebody have idea? This equations describe a physical model

$$ A_6 x + A_4 (y')^2 - 2 A_2 x'' - A_3xy'' + A_4yy'' = 0$$

$$ A_5 - A_3 (x')^2 - A_3xx'' + A_4yx'' - 2A_1y'' = 0$$

$'=(d/dt)$, $''=(d^2/dt^2)$, $A_i$-known constants. The initial conditions are:

$$ x(0)=a, y(0)=0, x'(0)=0, y'(0)=0$$

Thank you in advance!!!