Question: solve the non-linear equtions

Hi:

i will sole the below non-linear equtions in maple,how?(all initial conditons are zero)

EQ1 := -9.034666667*10^5*Pi^2*q3(t)*q1(t)+3044.230933*Pi*q1(t)*q5(t)+3044.230933*Pi*q1(t)*q4(t)+2.541000000*10^5*q1(t)^3*Pi^4+2.171794873*10^5*q1(t)*Pi^2-2.171794873*10^5*q2(t)*Pi+4.372778665*(diff(q1(t), t, t)) = 0
EQ2 := 54294.87180*q2(t)-54294.87180*q1(t)*Pi-.8371635069*q4(t)*Pi+.8371635069*q5(t)*Pi+1.093194666*q2(t)*Pi^2+0.7054749580e-5*(diff(q2(t), t, t)) = 0
EQ3 := 9.034666667*10^5*q1(t)^2*Pi^2+6.776000000*10^5*Pi^2*q3(t)-2283.173200*q5(t)*Pi-2283.173200*q4(t)*Pi = 0
EQ4 := -1.123134385*10^8*q1(t)*(diff(q1(t), t))+636.6197724-5191.348750*q4(t)-2.035463170*10^7*(diff(q5(t), t))-2.035463170*10^7*(diff(q4(t), t))-5191.348750*q5(t) = 0
EQ5 := .7002817496-29887.90348*q4(t)+29887.90348*q5(t)-135.8992605*(diff(q2(t), t))-7463.364956*(diff(q4(t), t))+7463.364956*(diff(q5(t), t)) = 0