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Question: dsolve returns signular solution which can be obtained from the general solution

Question:dsolve returns signular solution which can be obtained from the general solution

nm 8552 Maple 2019
ode singular dsolve differential-equations duplicate-question
August 30 2019
1

Why Maple returns -1/x as singular solution below when this solution can be obtained from the general solution when constant of integration is zero?

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restart;
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ode:=2*y(x)+2*x*y(x)^2+(2*x+2*x^2*y(x))*diff(y(x),x) = 0;
dsolve(ode,singsol=false);

2*y(x)+2*x*y(x)^2+(2*x+2*x^2*y(x))*(diff(y(x), x)) = 0

y(x) = (-1-_C1)/x, y(x) = (-1+_C1)/x

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sol:=[dsolve(ode,singsol=essential)];

[y(x) = -1/x, y(x) = (-1-_C1)/x, y(x) = (-1+_C1)/x]

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subs(_C1=0,sol)

[y(x) = -1/x, y(x) = -1/x, y(x) = -1/x]

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