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

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

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(dy)/(dx)=((x+sin(x)))/(3y^2)

\frac{d y}{d x} = \frac{( x + sin ( x ) )}{3 y ^{2}}

y = 3 \frac{x ^{2} - 2 cos ( x ) + c _{1}}{2}

Solution steps

\frac{d y}{d x} = \frac{( x + sin ( x ) )}{3 y ^{2}}

Solve separable ODE:

y = 3 \frac{x ^{2} - 2 cos ( x ) + c _{1}}{2}

y = 3 \frac{x ^{2} - 2 cos ( x ) + c _{1}}{2}

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\frac{d}{d x} (sin ((π x)^{7}))

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n = 1 \sum \infty \frac{n}{n ^{2} + 2}

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