Question

Obtain the general solution to the equation dr/d0 + rtan0 = 9tan0

Answer 1

To obtain the general solution to the given equation, we need to follow a series of steps that involve dividing, simplifying, integrating, and solving. The resulting general solution is r(θ) = A(tanθ - 9), where A is a constant.

Step-by-step explanation:

To solve the equation dr/dθ + r tanθ = 9 tanθ, let's consider the following steps:

1. Divide both sides of the equation by tanθ.
2. Simplify the equation by factoring out 1 + r from the left side.
3. Integrate both sides of the equation.
4. Solve for r(θ) to obtain the general solution.

The general solution to the equation is: r(θ) = A(tanθ - 9), where A is a constant.