What is the solution for (dy}{dx}=\frac{3sin(x))/y ?

The solution for (dy}{dx}=\frac{3sin(x))/y is y=sqrt(-6cos(x)+c_{1)},y=-sqrt(-6cos(x)+c_{1)}

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(dy}{dx}=\frac{3sin(x))/y

\frac{d y}{d x} = \frac{3 sin ( x )}{y}

y = - 6 cos (x) + c_{1}, y = - - 6 cos (x) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{3 sin ( x )}{y}

Solve separable ODE:

y = - 6 cos (x) + c_{1}, y = - - 6 cos (x) + c_{1}

y = - 6 cos (x) + c_{1}, y = - - 6 cos (x) + c_{1}

\frac{d y}{d x} + 16 x y = 0

2 x \frac{d y}{d x} + (1 - x) \frac{d y}{d x} - 2 y = 0

\frac{d y}{d x} = \frac{1 - y ^{2}}{1 - x ^{2}}

\frac{d P}{d t} = 2 Pt, P (1) = 5

\frac{d P}{d t} = 2 Pt, P (1) = 6

What is the solution for (dy}{dx}=\frac{3sin(x))/y ?
The solution for (dy}{dx}=\frac{3sin(x))/y is y=sqrt(-6cos(x)+c_{1)},y=-sqrt(-6cos(x)+c_{1)}