What is the solution for (dy)/(dx)=(7x)/(6y) ?

The solution for (dy)/(dx)=(7x)/(6y) is y=sqrt((7x^2)/6+c_{1)},y=-sqrt((7x^2)/6+c_{1)}

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(dy)/(dx)=(7x)/(6y)

\frac{d y}{d x} = \frac{7 x}{6 y}

y = \frac{7 x ^{2}}{6} + c_{1}, y = - \frac{7 x ^{2}}{6} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{7 x}{6 y}

Solve separable ODE:

y = \frac{7 x ^{2}}{6} + c_{1}, y = - \frac{7 x ^{2}}{6} + c_{1}

y = \frac{7 x ^{2}}{6} + c_{1}, y = - \frac{7 x ^{2}}{6} + c_{1}

\frac{\partial}{\partial x} (4 x^{2} - 2 x y + y^{2} z - y^{3})

\int \frac{3 x ^{2}}{3 + x ^{2}} d x

\frac{3}{2 x + 3 y}

f (x) = 9 x - 2 x^{2}

\int \frac{1}{2 - ( x - 1 ) ^{2}} d x

What is the solution for (dy)/(dx)=(7x)/(6y) ?
The solution for (dy)/(dx)=(7x)/(6y) is y=sqrt((7x^2)/6+c_{1)},y=-sqrt((7x^2)/6+c_{1)}