I am trying to solve a system of differential equations but the following code instead of returning the solution returns an output that simply restates the system. Can anyone suggest how I should modify the code to solve the following system of equations:
x(t)=x(t)* sqrt (x(t)^2+y(t)^2), y(t)=y(t)* sqrt (x(t)^2+y(t)^2) -9.82
Initial conditions: y(0) = 0, x(0) = 0
system = {p''[x] == p'[x]*sqrt(p'[x]^2+q'[x]^2), q''[x] == q'[x]*sqrt(p'[x]^2+q'[x]^2)-9.82, p[0] == 0, q[0] ==0};
sol = DSolve[system, {p,q}, x]
Thank you for your help.
