What is the solution for (dy)/(dx)=(cos(x))/(3y) ?

The solution for (dy)/(dx)=(cos(x))/(3y) is y=sqrt((2sin(x)+c_{1))/3},y=-sqrt((2sin(x)+c_{1))/3}

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(dy)/(dx)=(cos(x))/(3y)

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

y = \frac{2 sin ( x ) + c _{1}}{3}, y = - \frac{2 sin ( x ) + c _{1}}{3}

Solution steps

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

Solve separable ODE:

y = \frac{2 sin ( x ) + c _{1}}{3}, y = - \frac{2 sin ( x ) + c _{1}}{3}

y = \frac{2 sin ( x ) + c _{1}}{3}, y = - \frac{2 sin ( x ) + c _{1}}{3}

\frac{d y}{d x} y = (x^{6} ln (x))^{4}

y^{^{'}} = \frac{e ^{x} ( y - 2 )}{3}

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

y^{^{'}} + \frac{x}{x ^{2} - 9} \cdot y = 0

\frac{d x}{d t} = 10 - \frac{x}{10}

What is the solution for (dy)/(dx)=(cos(x))/(3y) ?
The solution for (dy)/(dx)=(cos(x))/(3y) is y=sqrt((2sin(x)+c_{1))/3},y=-sqrt((2sin(x)+c_{1))/3}