Consider the differential equation dy/dx=y-y^2/x for all x ! =0

Start by separating variables:

Split left side into 2 fractions using partial fractions:

Integrate both sides and solve for y:


Finally, divide by C on top/bottom to get

I’m going to infer you said parallel.solve for yy= -1/2x+7/4lines that are parallel have the same slope, different y intercept.so we know m is -1/2then from there solve for y intercept.