2.1927   ODE No. 1927

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

$$\{x^{″}(t)=a{e}^{2x(t)}+e^{-2x(t)}{\cos }^2(y(t))-e^{-x(t)},y^{″}(t)=e^{-2x(t)}\sin (y(t))\cos (y(t))-\tan (y(t)){\sec }^2(y(t))\}$$ ✗ Mathematica : cpu = 0.00970096 (sec), leaf count = 0 , could not solve

DSolve[{Derivative[2][x][t] == -E^(-x[t]) + a*E^(2*x[t]) + Cos[y[t]]^2/E^(2*x[t]), Derivative[2][y][t] == (Cos[y[t]]*Sin[y[t]])/E^(2*x[t]) - Sec[y[t]]^2*Tan[y[t]]}, {x[t], y[t]}, t]

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve({diff(diff(x(t),t),t) = a*exp(2*x(t))-exp(-x(t))+exp(-2*x(t))*cos(y(t))^2, diff(diff(y(t),t),t) = exp(-2*x(t))*sin(y(t))*cos(y(t))-sin(y(t))/cos(y(t))^3})