What is the solution for (dy}{dx}=-\frac{4sin(x)cos(x))/y ?

The solution for (dy}{dx}=-\frac{4sin(x)cos(x))/y is y=sqrt(2cos(2x)+c_{1)},y=-sqrt(2cos(2x)+c_{1)}

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(dy}{dx}=-\frac{4sin(x)cos(x))/y

\frac{d y}{d x} = - \frac{4 sin ( x ) cos ( x )}{y}

y = 2 cos (2 x) + c_{1}, y = - 2 cos (2 x) + c_{1}

Solution steps

\frac{d y}{d x} = - \frac{4 sin ( x ) cos ( x )}{y}

Solve separable ODE:

y = 2 cos (2 x) + c_{1}, y = - 2 cos (2 x) + c_{1}

y = 2 cos (2 x) + c_{1}, y = - 2 cos (2 x) + c_{1}

x \to 2 lim (x^{2} - 2 x + 1)

\int ln (x) \cdot e^{- 2 x} d x

f (x) = \frac{2 x - 1}{x + 5}, at x = 3

\frac{d y}{d x} - y = 1, y (0) = 1

f (x) = \frac{1}{x ^{2}}, at x = 3

What is the solution for (dy}{dx}=-\frac{4sin(x)cos(x))/y ?
The solution for (dy}{dx}=-\frac{4sin(x)cos(x))/y is y=sqrt(2cos(2x)+c_{1)},y=-sqrt(2cos(2x)+c_{1)}