Chapter 9.1, Problem 57E

(A)

To determine

To find: The particular solution of the differential equation $x{y}^{\prime }=3y-6$ that satisfies the initial condition $y\left(0\right)=2$.

(B)

To determine

To find: The particular solution of the differential equation $x{y}^{\prime }=3y-6$ that satisfies the initial condition $y\left(0\right)=0$.

(C)

To determine

To find: The particular solution of the differential equation $x{y}^{\prime }=3y-6$ that satisfies the initial condition $y\left(1\right)=1$.