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Question: About nonlinear ODE system again

Question:About nonlinear ODE system again

torabi 85 Maple 2015
dsolve nonlinear
May 14 2016
0

hi

how i can solve nonlinear differential equations with shooting method in maple?ω in equation is unknown...

thanks

eq.mw

dsys3 := {-0.326905829596411e-2*g(x)-(diff(g(x), x, x))-(diff(s(x), x))*(diff(s(x), x, x))-(4/3)*omega^2*g(x), -s(x)*omega^2-(-0.573628192993074e-1*sin(0.571756792348295e-1*x)-0.163452914798206e-2*cos(0.571756792348295e-1*x))*(diff(s(x), x))-(1.00327307112014*cos(0.571756792348295e-1*x)-0.285878396174148e-1*sin(0.571756792348295e-1*x)-1)*(diff(s(x), x, x))+0.220893539279189e-4*(diff(s(x), x, x, x, x))-(9/8)*(diff(s(x), x, x))*(diff(s(x), x))^2-(3/4)*(diff(s(x), x, x))*(diff(g(x), x))-(3/4)*(diff(s(x), x))*(diff(g(x), x, x)), (D(g))(1)+(1/2)*(D(s))(1)^2 = 0, g(0) = 0, s(0) = 0, (D(s))(0) = 0, ((D@@2)(s))(1) = 0, ((D@@3)(s))(1) = 0}

{-0.326905829596411e-2*g(x)-(diff(diff(g(x), x), x))-(diff(s(x), x))*(diff(diff(s(x), x), x))-(4/3)*omega^2*g(x), -s(x)*omega^2-(-0.573628192993074e-1*sin(0.571756792348295e-1*x)-0.163452914798206e-2*cos(0.571756792348295e-1*x))*(diff(s(x), x))-(1.00327307112014*cos(0.571756792348295e-1*x)-0.285878396174148e-1*sin(0.571756792348295e-1*x)-1)*(diff(diff(s(x), x), x))+0.220893539279189e-4*(diff(diff(diff(diff(s(x), x), x), x), x))-(9/8)*(diff(diff(s(x), x), x))*(diff(s(x), x))^2-(3/4)*(diff(diff(s(x), x), x))*(diff(g(x), x))-(3/4)*(diff(s(x), x))*(diff(diff(g(x), x), x)), (D(g))(1)+(1/2)*(D(s))(1)^2 = 0, g(0) = 0, s(0) = 0, (D(s))(0) = 0, ((D@@2)(s))(1) = 0, ((D@@3)(s))(1) = 0}

 (1)

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