What is the solution for (dy)/(dx)y=cos(3*pi/9) ?

The solution for (dy)/(dx)y=cos(3*pi/9) is y=sqrt(x+c_{1)},y=-sqrt(x+c_{1)}

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(dy)/(dx)y=cos(3*pi/9)

\frac{d y}{d x} y = cos (3 \cdot \frac{π}{9})

y = x + c_{1}, y = - x + c_{1}

Solution steps

\frac{d y}{d x} y = cos (3 \cdot \frac{π}{9})

Solve separable ODE:

y = x + c_{1}, y = - x + c_{1}

y = x + c_{1}, y = - x + c_{1}

(y + 1) y^{^{'}} = y (x - 1)^{2}

y^{^{'}} = 4 x + x y

y^{^{'}} (x) = \frac{15 + 3 x}{3 y ^{2} - 12 y}, y (0) = 2

\frac{d x}{2 x} = d t

\frac{2 d y}{y} = \frac{2 cos ( 2 x )}{sin ( 2 x )} d x

What is the solution for (dy)/(dx)y=cos(3*pi/9) ?
The solution for (dy)/(dx)y=cos(3*pi/9) is y=sqrt(x+c_{1)},y=-sqrt(x+c_{1)}