2.1928   ODE No. 1928

1. Problem in Latex
2. Mathematica input
3. Maple input

$$\{x^{″}(t)=\frac{kx(t)}{{(x(t{)}^2+y(t{)}^2)}^{3/2}},y^{″}(t)=\frac{ky(t)}{{(x(t{)}^2+y(t{)}^2)}^{3/2}}\}$$ ✗ Mathematica : cpu = 0.00721564 (sec), leaf count = 0 , could not solve

DSolve[{Derivative[2][x][t] == (k*x[t])/(x[t]^2 + y[t]^2)^(3/2), Derivative[2][y][t] == (k*y[t])/(x[t]^2 + y[t]^2)^(3/2)}, {x[t], y[t]}, t]

✗ Maple : cpu = 0. (sec), leaf count = 0 , exception

time expired