Final answer:
Without the clear representation of the differential equation, I can't provide a specific solution. However, the solution typically involves finding an integrating factor or using separation of variables, followed by integration and applying initial conditions if available.
Step-by-step explanation:
The student appears to be asking to find the general solution of a differential equation that is not clearly represented in the question. Since the question includes details that suggest it may be related to deceleration or physics concepts, such as referencing a deceleration of -5.00 m/s², it could be interpreted in a mathematical sense as dealing with calculus or kinematics from physics. However, due to the lack of a clear representation of the differential equation, I am unable to provide a specific solution. Instead, I will explain how to approach solving a linear differential equation in general terms.
Typically, solving a linear differential equation involves finding an integrating factor or using separation of variables if the equation is separable. For example, if the differential equation is in the form dy/dx + P(x)y = Q(x), you would:
- Find an integrating factor μ(x), which is usually e^(integral of P(x) dx).
- Multiply both sides of the differential equation by the integrating factor.
- Integrate both sides with respect to x.
- Find the constant of integration by applying initial conditions if available.
If a student encounters a specific form of a differential equation, they should apply the appropriate method based on the properties of the equation.