\[ y'(x) \left (\frac {\text {e1} (a+x)}{\left ((a+x)^2+y(x)^2\right )^{3/2}}+\frac {\text {e2} (x-a)}{\left ((x-a)^2+y(x)^2\right )^{3/2}}\right )-y(x) \left (\frac {\text {e1}}{\left ((a+x)^2+y(x)^2\right )^{3/2}}+\frac {\text {e2}}{\left ((x-a)^2+y(x)^2\right )^{3/2}}\right )=0 \] ✗ Mathematica : cpu = 77.0519 (sec), leaf count = 0
DSolve[-(y[x]*(e2/((-a + x)^2 + y[x]^2)^(3/2) + e1/((a + x)^2 + y[x]^2)^(3/2))) + ((e2*(-a + x))/((-a + x)^2 + y[x]^2)^(3/2) + (e1*(a + x))/((a + x)^2 + y[x]^2)^(3/2))*Derivative[1][y][x] == 0,y[x],x]
, could not solve
DSolve[-(y[x]*(e2/((-a + x)^2 + y[x]^2)^(3/2) + e1/((a + x)^2 + y[x]^2)^(3/2))) + ((e2*(-a + x))/((-a + x)^2 + y[x]^2)^(3/2) + (e1*(a + x))/((a + x)^2 + y[x]^2)^(3/2))*Derivative[1][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve((e1*(x+a)/((x+a)^2+y(x)^2)^(3/2)+e2*(x-a)/((x-a)^2+y(x)^2)^(3/2))*diff(y(x),x)-y(x)*(e1/((x+a)^2+y(x)^2)^(3/2)+e2/((x-a)^2+y(x)^2)^(3/2)) = 0,y(x))
, exception
time expired