What is the solution for x^3(dy)/(dx)-sin(x)y=0 ?

The solution for x^3(dy)/(dx)-sin(x)y=0 is y=e^{-(sin(x)}{2x^2}+1/2 (-\frac{cos(x))/x-\Si(x))+c_{1}}

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x^3(dy)/(dx)-sin(x)y=0

x^{3} \frac{d y}{d x} - sin (x) y = 0

y = e^{- \frac{s i n ( x )}{2 x ^{2}} + \frac{1}{2} (- \frac{c o s ( x )}{x} - Si (x)) + c_{1}}

Solution steps

x^{3} \frac{d y}{d x} - sin (x) y = 0

Solve separable ODE:

y = e^{- \frac{s i n ( x )}{2 x ^{2}} + \frac{1}{2} (- \frac{c o s ( x )}{x} - Si (x)) + c_{1}}

y = e^{- \frac{s i n ( x )}{2 x ^{2}} + \frac{1}{2} (- \frac{c o s ( x )}{x} - Si (x)) + c_{1}}

y^{^{'}} = \frac{x ^{2} - 3}{y ^{2}}, y (0) = 4

y^{^{'}} = \frac{x ^{2} - 3}{y ^{2}}, y (0) = 6

\frac{d y}{d x} = 6 + 18 x + 7 y + 21 x y

y^{^{'}} = 4 y e^{t}, y (0) = 1

y^{^{'}} = 3 \cdot y

What is the solution for x^3(dy)/(dx)-sin(x)y=0 ?
The solution for x^3(dy)/(dx)-sin(x)y=0 is y=e^{-(sin(x)}{2x^2}+1/2 (-\frac{cos(x))/x-\Si(x))+c_{1}}