What is the solution for (dy)/(dx)=((3x-5)/(y-2)) ?

The solution for (dy)/(dx)=((3x-5)/(y-2)) is y=2+sqrt(3x^2-10x+c_{1)+4},y=2-sqrt(3x^2-10x+c_{1)+4}

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(dy)/(dx)=((3x-5)/(y-2))

\frac{d y}{d x} = (\frac{3 x - 5}{y - 2})

y = 2 + 3 x^{2} - 10 x + c_{1} + 4, y = 2 - 3 x^{2} - 10 x + c_{1} + 4

Solution steps

\frac{d y}{d x} = (\frac{3 x - 5}{y - 2})

Solve separable ODE:

y = 2 + 3 x^{2} - 10 x + c_{1} + 4, y = 2 - 3 x^{2} - 10 x + c_{1} + 4

y = 2 + 3 x^{2} - 10 x + c_{1} + 4, y = 2 - 3 x^{2} - 10 x + c_{1} + 4

\frac{d y}{d t} = - y + 1

\frac{d x}{d t} = 10 - 0.6 \cdot x

(x + 2) \frac{d y}{d x} = x y + 3 x - y - 3

cos (y) y^{^{'}} = sin^{2} (x) cos (x), y (0) = \frac{π}{6}

2 \frac{d y}{d x} + x y = 2 x

What is the solution for (dy)/(dx)=((3x-5)/(y-2)) ?
The solution for (dy)/(dx)=((3x-5)/(y-2)) is y=2+sqrt(3x^2-10x+c_{1)+4},y=2-sqrt(3x^2-10x+c_{1)+4}