In a previous question, I had obtained a differential equation from:
Starts with this implicit equation:
(x - a)^2 + y^2 == 1
(1) ( circles on x -axis ) $(x-a)^2+y^2=1$
Is the set of equations of the given circles. This set contains one parameter namely a
. So, it is the solution set of a differential equation of the first order.
NOTE: see my previous question
for additional details how the differential equation is derived
This differential equation :
DSolve[y[x]^2*Derivative[1][y][x]^2 == 1 - y[x]^2, {y[x]}, {x}]
Is a general solution : how to plot the general solution and a particular solution for say in the origin (0,0) ? (type ODE ?: first order))
EDIT The integralcurves