Given dydx=y−1\frac{dy}{dx} = y - 1dxdy=y−1, what happens if y(0)=1y(0) = 1y(0)=1?
y(t)=1y(t) = 1y(t)=1 for all ttt.
y(t)=ety(t) = e^ty(t)=et.
y(t)=0y(t) = 0y(t)=0.
y(t)=t+1y(t) = t + 1y(t)=t+1.