Final answer:
The general solution of the given differential equation y = e⁽⁴ˣ⁾ is y = (1/4)e⁽⁴ˣ⁾ + C.
Step-by-step explanation:
To find the general solution of the given differential equation y = e⁽⁴ˣ⁾, we need to integrate the equation. The integral of e⁽⁴ˣ⁾ with respect to x is (1/4)e⁽⁴ˣ⁾. So the general solution of the differential equation is y = (1/4)e⁽⁴ˣ⁾ + C, where C is the constant of integration.