the differential equation y'*y=cos(x) has the acclivity of y'=cos(x)/y. Obviously the acclivity is not defined for points (x=r;y=0). r= real numbers
Is there a way to give a short but logic argument for this? Does this mean there is no kurve within the infinite array of curves, that goes through null (crossing the x-axis) ?
Id be gereat if sombody could give me an answer.
Best Regard,
Jln