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Coupled differential equations

December 2, 2019   BI News and Info
 Coupled differential equations

for exemple i have pde1 = -y1”[x] – (2*y1′[x])/x + (10^-19*(y1[x])^2 + y2[x])*y1[x] == 0;
pde2 = y2”[x] + (2*y2′[x])/x – (10^-25)(y1[x])^2 == 0
sol = NDSolve[{pde1, pde2, y1[1] == 0.001,y2[1] == -0.001, y1′[0.001] == 0.001, y2′[0.001] == 0.001}, {y1, y2}, {x, 30}]
{{y1 -> InterpolatingFunction[{{0., 30}}, <>],
y2-> InterpolatingFunction[{{0., 30}}, <>]}}
I need to plot the integration of ( solution(y1)
x^2)

1 Answer

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Coupled, differential, equations
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