Question: Nonlinear differential equations

I have a system of nonlinear differential equations with initial conditions: 

diff(m(t), t) = m(t)+(18.676*(1+.3570*n(t)))/((1+0.714e-1*n(t))^2+(-3+m(t)-n(t))^2)

diff(n(t), t) = -12.26993865*n(t)+674.5142595/((1+0.714e-1*n(t))^2+(-3+m(t)-n(t))^2)^2

ics := m(0) = 0, n(0) = 0

  How would I solve this system of equations on maple to get an answer for x(t) without using timeseries for solving equations? Thanks for any advice

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