Solve the differential equation dy/dx = 3y.
The given differential equation is:
dy/dx = 3y
This is a separable differential equation, meaning we can separate the variables y and x on opposite sides of the equation.
Step 1: Separate the variables
By rearranging the equations we get
dy/y = 3 dx
Step 2: Integrate both sides
Now, integrate both sides of the equation:
∫ (1/y) dy = ∫ 3 dx
ln|y| = 3x + C
Where C is the constant of integration.