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Question: dsolve return nothing

Question:dsolve return nothing

mehdi jafari 749 Maple
dsolve
September 06 2016
0

hi. i have a system of ODEs. is there any answer ? rho is constant !

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restart:Physics:-Assume(rho=constant)

{(-constant+rho)::0, (constant-rho)::0}, {(-constant+rho)::0, (constant-rho)::0}

 (1)
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#rho=10:
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sys:={8*g(t)^3*diff(g(t),t$2)+4*(g(t)*diff(g(t),t))^2+1=0,rho=-1/g(t)-2*(diff(g(t),t)+t*diff(g(t),t$2))-t/(2*g(t)^3),rho=(-t/g(t))*(diff(g(t),t))^2+t/(4*g(t)^3)}

{rho = -t*(diff(g(t), t))^2/g(t)+(1/4)*t/g(t)^3, rho = -1/g(t)-2*(diff(g(t), t))-2*t*(diff(diff(g(t), t), t))-(1/2)*t/g(t)^3, 8*g(t)^3*(diff(diff(g(t), t), t))+4*g(t)^2*(diff(g(t), t))^2+1 = 0}

 (2)
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dsolve(sys)
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