What is the solution for (dy)/(dx)=(sin(x))/(4y),y(0)=-8 ?

The solution for (dy)/(dx)=(sin(x))/(4y),y(0)=-8 is y=-sqrt((-cos(x)+129)/2)

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(dy)/(dx)=(sin(x))/(4y),y(0)=-8

\frac{d y}{d x} = \frac{sin ( x )}{4 y}, y (0) = - 8

y = - \frac{- cos ( x ) + 129}{2}

Solution steps

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

Solve separable ODE:

y = - \frac{- cos ( x ) + 129}{2}

y = - \frac{- cos ( x ) + 129}{2}

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

y^{^{'}} = y^{3} (x^{3} - x)

x \frac{d y}{d x} - y = 2 x^{3} y

\frac{d y}{d x} y = e^{x} x^{2} + 1

f (x) = (x^{3} + 4 x + 2)^{3} f^{^{'}} (x)

What is the solution for (dy)/(dx)=(sin(x))/(4y),y(0)=-8 ?
The solution for (dy)/(dx)=(sin(x))/(4y),y(0)=-8 is y=-sqrt((-cos(x)+129)/2)