# Question:Numerical Solution for system of Differential Equations

## Question:Numerical Solution for system of Differential Equations

Maple

I want to solve the following system of differential equations to find xphi, but I seem to be doing something wrong because I get an error message.

xodephi := {diff(x(t), t) = 16250.25391*(1 - (487*x(t))/168 + 4*Pi*x(t)^(3/2) + (274229*x(t)^2)/72576 - (254*Pi*x(t)^(5/2))/21 + (119.6109573 - (856*ln(16*x(t)))/105)*x(t)^3 + (30295*Pi*x(t)^(7/2))/1728 + (7.617741607 - 23.53000000*ln(x(t)))*x(t)^4 + (535.2001594 - 102.446*ln(x(t)))*x(t)^(9/2) + (413.8828821 + 323.5521650*ln(x(t)))*x(t)^5 + (1533.899179 - 390.2690000*ln(x(t)))*x(t)^(11/2) + (2082.250556 + 423.6762500*ln(x(t)) + 33.2307*ln(x(t)^2))*x(t)^6)*x(t)^5, diff(xphi(t), t) = 5078.204347*x(t)^(3/2), x(0) = 0.03369973351, xphi(10.92469316) = 0}

xsolphi := dsolve(xodephi, numeric)

Error, (in dsolve/numeric/bvp) precision is insufficient for required absolute error, suggest increasing Digits to approximately 25 for this problem

Later, I am interested in plotting xphi for t ranging from (11.92469316 - 1) to 11.92469316, but first I need to obtain a numerical solution for xphi in this region. Any advice?

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