Question

use a technique of integration or a substitution to find an explicit solution of the given differential equation.

Answer 1

To find an explicit solution of a given differential equation, identify the knowns and unknowns, use integration or substitution to solve the equation, and substitute known values to obtain numerical solutions.

Step-by-step explanation:

To find an explicit solution of the given differential equation:

1. Identify the knowns and unknowns in the problem.
2. Use a suitable technique of integration or substitution to solve the equation.
3. Substitute the known values along with their units into the appropriate equation to obtain numerical solutions complete with units.

For example, if the differential equation is of the form dy/dx = f(x), you can integrate both sides to find the general solution y(x) = ∫f(x) dx + C, where C is the constant of integration.