What is the solution for (dy}{dx}=-\frac{sin(x+5))/y ?

The solution for (dy}{dx}=-\frac{sin(x+5))/y is y=sqrt(2cos(x+5)+c_{1)},y=-sqrt(2cos(x+5)+c_{1)}

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(dy}{dx}=-\frac{sin(x+5))/y

\frac{d y}{d x} = - \frac{sin ( x + 5 )}{y}

y = 2 cos (x + 5) + c_{1}, y = - 2 cos (x + 5) + c_{1}

Solution steps

\frac{d y}{d x} = - \frac{sin ( x + 5 )}{y}

Solve separable ODE:

y = 2 cos (x + 5) + c_{1}, y = - 2 cos (x + 5) + c_{1}

y = 2 cos (x + 5) + c_{1}, y = - 2 cos (x + 5) + c_{1}

- x \cdot f (x) = \frac{df}{d x}

\frac{d x}{d t} = \frac{t + sin ^{2} ( t )}{x}, x (0) = 1

\frac{d y}{d x} = 0.9 (y - 300)

\frac{d y}{1} = \frac{d x}{1 + y}

\frac{d x}{d t} = - k x, x (0) = 5

What is the solution for (dy}{dx}=-\frac{sin(x+5))/y ?
The solution for (dy}{dx}=-\frac{sin(x+5))/y is y=sqrt(2cos(x+5)+c_{1)},y=-sqrt(2cos(x+5)+c_{1)}