What is the solution for (dr)/(dθ)cot(θ)-r=2 ?

The solution for (dr)/(dθ)cot(θ)-r=2 is r(θ)=(c_{1})/(cos(θ))-2

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(dr)/(dθ)cot(θ)-r=2

\frac{d r}{d θ} cot (θ) - r = 2

r (θ) = \frac{c _{1}}{cos ( θ )} - 2

Solution steps

\frac{d r}{d θ} cot (θ) - r = 2

Solve separable ODE:

r (θ) = \frac{c _{1}}{cos ( θ )} - 2

r (θ) = \frac{c _{1}}{cos ( θ )} - 2

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What is the solution for (dr)/(dθ)cot(θ)-r=2 ?
The solution for (dr)/(dθ)cot(θ)-r=2 is r(θ)=(c_{1})/(cos(θ))-2