Solve the differential equation dz over dt plus 4et plus z equals 0?

Answer 1

You need to clarify what you want to solve for. If you're solving for z, then we can say:

dz/dt + 4et + z = 0

∴ dz/dt = -4et - z

∴ ∫(dz/dt) dt = -2et2 - zt + C

∴ z = -2et2 - zt + C

∴ z + zt = -2et2 + C

∴ z(1 + t) = -2et2 + C

∴ z = (-2et2 + C) / (1 + t)