What is the solution for (1/y)((dy)/(dx))-1/x =0 ?

The solution for (1/y)((dy)/(dx))-1/x =0 is y=c_{1}x

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(1/y)((dy)/(dx))-1/x =0

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

y = c_{1} x

Solution steps

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

Solve separable ODE:

y = c_{1} x

y = c_{1} x

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

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

y^{^{'}} = - \frac{2 y}{2 x + 100}

\frac{( x ^{2} - 9 )}{x} \cdot \frac{d y}{d x} + y = 0

\frac{d y}{d x} = \frac{x ^{2} + 7 x + 3}{y ^{2}}

What is the solution for (1/y)((dy)/(dx))-1/x =0 ?
The solution for (1/y)((dy)/(dx))-1/x =0 is y=c_{1}x