210k views
4 votes
Find such that ()=5 is a solution of the differential equation =. =

A) Particular solution
B) Homogeneous solution
C) Constant solution
D) General solution

User DanScan
by
8.5k points

1 Answer

2 votes

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.

User Jporcenaluk
by
7.4k points

No related questions found