What is the solution for (dx)/(dy)=(5y)/(6x) ?

The solution for (dx)/(dy)=(5y)/(6x) is x=sqrt((5y^2)/6+c_{1)},x=-sqrt((5y^2)/6+c_{1)}

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(dx)/(dy)=(5y)/(6x)

\frac{d x}{d y} = \frac{5 y}{6 x}

x = \frac{5 y ^{2}}{6} + c_{1}, x = - \frac{5 y ^{2}}{6} + c_{1}

Solution steps

\frac{d x}{d y} = \frac{5 y}{6 x}

Solve separable ODE:

x = \frac{5 y ^{2}}{6} + c_{1}, x = - \frac{5 y ^{2}}{6} + c_{1}

x = \frac{5 y ^{2}}{6} + c_{1}, x = - \frac{5 y ^{2}}{6} + c_{1}

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

\frac{d y}{d t} = - \frac{1}{50} (y - 23)

y^{^{'}} sec (x) = 6 y^{2}, y (\frac{9 π}{2}) = \frac{1}{7}

(x + 1) d x - y d y = 0

\frac{d y}{d t} + t y = y, y (1) = 3

What is the solution for (dx)/(dy)=(5y)/(6x) ?
The solution for (dx)/(dy)=(5y)/(6x) is x=sqrt((5y^2)/6+c_{1)},x=-sqrt((5y^2)/6+c_{1)}