What is the solution for derivative of θ(x)=sin(θ(x))*cos(θ(x)) ?

The solution for derivative of θ(x)=sin(θ(x))*cos(θ(x)) is θ(x)=arctan(e^{x+c_{1}})+pin

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derivative of θ(x)=sin(θ(x))*cos(θ(x))

\frac{d}{d x} (θ (x)) = sin (θ (x)) \cdot cos (θ (x))

θ (x) = arctan (e^{x + c_{1}}) + πn

Solution steps

\frac{d}{d x} (θ (x)) = sin (θ (x)) \cdot cos (θ (x))

Solve separable ODE:

θ (x) = arctan (e^{x + c_{1}}) + πn

θ (x) = arctan (e^{x + c_{1}}) + πn

3 x^{2} y^{5} d x + 5 x^{3} y^{4} d y = 0

(1 + cos (x)) d y = y \cdot sin (x) d x

(y - 2) \frac{d y}{d x} = 3 x - 5

x \frac{d y}{d x} - 3 y = - 3

\frac{d h}{d t} = - h^{4}

What is the solution for derivative of θ(x)=sin(θ(x))*cos(θ(x)) ?
The solution for derivative of θ(x)=sin(θ(x))*cos(θ(x)) is θ(x)=arctan(e^{x+c_{1}})+pin