What is the solution for (dy}{dx}=\frac{6y)/x ,x>0 ?

The solution for (dy}{dx}=\frac{6y)/x ,x>0 is y=c_{1}x^6

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(dy}{dx}=\frac{6y)/x ,x>0

\frac{d y}{d x} = \frac{6 y}{x}, x > 0

y = c_{1} x^{6}

Solution steps

\frac{d y}{d x} = \frac{6 y}{x}

Solve separable ODE:

y = c_{1} x^{6}

y = c_{1} x^{6}

y^{^{'}} = 3 \frac{y}{x - 1}

y^{^{'}} + 6 y = 4, y (0) = 0

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

y^{^{'}} = y \cdot e^{- x}

\frac{d y}{d x} = 6 x^{2} + 6 x^{2} y^{2}

What is the solution for (dy}{dx}=\frac{6y)/x ,x>0 ?
The solution for (dy}{dx}=\frac{6y)/x ,x>0 is y=c_{1}x^6