Consider the differential equation (dy / dx) = (1 + y²)x.

Consider the differential equation (dy / dx) = (1 + y²)x. The general solution with constant c is

y = tan	x²	+ tanc
	2

y = tan²			x	+ c
			2

y = tan²			x			+ c
			2

y = tan			x²	+ c
			2