Final answer:
The solution type for a given function satisfying the differential equation at a specific value (given as ()=5) is known as a particular solution.
Step-by-step explanation:
The student is asking about a specific type of solution for a differential equation. The given differential equation is θ = φ(t), where θ is 5 when φ(t) is a solution. This means when applying this value into the differential equation, it must satisfy the equation.
Since the question points towards a specific value rather than a general form, this solution would be characterized as a particular solution. A homogeneous solution would involve the differential equation equalling zero, a constant solution would mean that the function is constant, and a general solution would represent the broadest set of solutions for the differential equation, often involving arbitrary constants.