Answer:
The question appears to be about solving a differentially equation likely using Laplace Transform or other methods. However, the equation contains a possible typo. With corrections and properly defined input functions, one could apply such methods for the solution.
Step-by-step explanation:
To solve this equation, one would typically make use of a method such as the Laplace Transform or integrating factors, depending on the specific nature of u(t) and uz(t). However, the equation appears to have a typo with 2y appearing twice. A correctly posed differential equation might look something like y' + 4y = u(t) - uz(t), in which case the tools mentioned above could apply.
Given initial conditions y(0) = 0, one could also apply the method of variation of parameters, or use a Green's function to solve this non-homogeneous equation. It's difficult to give a step-by-step solution without an exact form for the input functions u(t) and uz(t), but the general approach would involve the tools and methods listed above.