Question

Write and find the general solution of the differential equation that models the verbal statement. (Use k for the constant of proportionality. Use C for the constant of integration.)

The rate of change of Q with respect to x is inversely proportional to the square of x.

Answer 1

Explanation:

The general solution of the differential equation can be found as follows:

dQ/dx = k/x^2

Integrating both sides, we get:

Q = k * ln|x| + C

where C is the constant of integration.