Solve the differential equation dy/dx = 2y with y(0) = 3:
✓ Correct Answer: Option B
Separable ODE: dy/y = 2dx → ln|y| = 2x + C → y = Ae^(2x). With y(0)=3: A=3, so y = 3e^(2x).
Separable ODE: dy/y = 2dx → ln|y| = 2x + C → y = Ae^(2x). With y(0)=3: A=3, so y = 3e^(2x).