What is the solution for (dy)/(dx)=-((x+6))/(7y^2) ?

The solution for (dy)/(dx)=-((x+6))/(7y^2) is y=-(\sqrt[3]{3}\sqrt[3]{x^2+12x-c_{1}})/(\sqrt[3]{14)}

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(dy)/(dx)=-((x+6))/(7y^2)

\frac{d y}{d x} = - \frac{( x + 6 )}{7 y ^{2}}

Solution steps

\frac{d y}{d x} = - \frac{( x + 6 )}{7 y ^{2}}

Solve separable ODE:

\frac{d θ}{d t} = 40 - \frac{2}{5} (θ - 15)

y^{^{''}} + 4 y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 1

f (x) = (9 x^{2} - 15 x) e^{x}

\int sin (x) cos (x) ln (sin (x)) d x

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = - \frac{7}{3}

What is the solution for (dy)/(dx)=-((x+6))/(7y^2) ?
The solution for (dy)/(dx)=-((x+6))/(7y^2) is y=-(\sqrt[3]{3}\sqrt[3]{x^2+12x-c_{1}})/(\sqrt[3]{14)}