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Question: Trick to help Maple solve this first order ode?

Question:Trick to help Maple solve this first order ode?

nm 12048 Maple 2025
ode dsolve differential-equations
4 hours ago
1

Could someone suggest a way to help dsolve be able to obtain this solution to this complicated first order ode? In V 2025.2 it is not able to solve it as is

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interface(version);

`Standard Worksheet Interface, Maple 2025.2, Windows 10, November 11 2025 Build ID 1971053`

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ode:=-x*sqrt((1 - x)/(x + 1))*(x + 1)*arcsech(x)*diff(y(x), x)*exp(y(x)/arcsech(x) + exp(y(x)/arcsech(x))) - y(x)*exp(y(x)/arcsech(x) + exp(y(x)/arcsech(x))) + 2*x*sqrt((1 - x)/(x + 1))*(x + 1)*arcsech(x)^2 = 0;

-x*((1-x)/(x+1))^(1/2)*(x+1)*arcsech(x)*(diff(y(x), x))*exp(y(x)/arcsech(x)+exp(y(x)/arcsech(x)))-y(x)*exp(y(x)/arcsech(x)+exp(y(x)/arcsech(x)))+2*x*((1-x)/(x+1))^(1/2)*(x+1)*arcsech(x)^2 = 0

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sol:=dsolve(ode);

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expected_sol:=y(x)=arcsech(x)*ln(ln(2*x+_C1));

y(x) = arcsech(x)*ln(ln(2*x+_C1))

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odetest(expected_sol,ode) assuming x>0

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