What is the solution for (dy)/(dx)=(xsin(x))/(y^2),y(0)=-9 ?

The solution for (dy)/(dx)=(xsin(x))/(y^2),y(0)=-9 is y=\sqrt[3]{-3xcos(x)+3sin(x)-729}

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(dy)/(dx)=(xsin(x))/(y^2),y(0)=-9

\frac{d y}{d x} = \frac{x sin ( x )}{y ^{2}}, y (0) = - 9

y = 3 - 3 x cos (x) + 3 sin (x) - 729

Solution steps

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

Solve separable ODE:

y = 3 - 3 x cos (x) + 3 sin (x) - 729

y = 3 - 3 x cos (x) + 3 sin (x) - 729

\frac{d y}{d x} 50 x^{\frac{1}{3}} y^{\frac{2}{3}} = 600

x^{2} y^{^{'}} + x y = y

u^{^{'}} = e^{9 x - H (x)}

2 t x \frac{d x}{d t} + (x^{2} + 1) = 0

y^{^{'}} = y (5 x^{2} + 3)

What is the solution for (dy)/(dx)=(xsin(x))/(y^2),y(0)=-9 ?
The solution for (dy)/(dx)=(xsin(x))/(y^2),y(0)=-9 is y=\sqrt[3]{-3xcos(x)+3sin(x)-729}