What is the solution for y(dy)/(dx)=3,x(y^2+6)^8=3 ?

The solution for y(dy)/(dx)=3,x(y^2+6)^8=3 is y=sqrt(6x+c_{1)},y=-sqrt(6x+c_{1)}

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y(dy)/(dx)=3,x(y^2+6)^8=3

y \frac{d y}{d x} = 3, x (y^{2} + 6)^{8} = 3

y = 6 x + c_{1}, y = - 6 x + c_{1}

Solution steps

y \frac{d y}{d x} = 3

Solve separable ODE:

y = 6 x + c_{1}, y = - 6 x + c_{1}

y = 6 x + c_{1}, y = - 6 x + c_{1}

\frac{d y}{d x} = (1 + x^{2}) (1 + y)

y^{2} y^{^{'}} = - 2 x y, y (0) = 2

\frac{d y}{d x} = \frac{x - 5}{y}

\frac{d y}{d x} = - \frac{3}{4} x^{4} y^{3}

y^{2} (3 v + 1) d v + y^{2} (- v^{2}) d y = 0

What is the solution for y(dy)/(dx)=3,x(y^2+6)^8=3 ?
The solution for y(dy)/(dx)=3,x(y^2+6)^8=3 is y=sqrt(6x+c_{1)},y=-sqrt(6x+c_{1)}