Calculator Riccati Differential Equation

Riccati differential equation y'+y^2=1

y(x)+y(x)2=1

The general solution of the first order differential equation is:

y(x)=e2x-e2ke2k+e2x

with the constant k and the initial values x0, y0:

k=12lne2x0(1-y0)y0+1=x0+ln1-y0y0+1

Calculator for the initial value problem: y'+y^2=1 with the initial values x0, y0

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