What is the solution for x^2(dy)/(dx)+sin(x)-y=0 ?

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

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x^2(dy)/(dx)+sin(x)-y=0

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

y = \frac{\int - \frac{e ^{\frac{1}{x}} s i n ( x )}{x ^{2}} d x}{e ^{\frac{1}{x}}}

Solution steps

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

Solve linear ODE:

y = \frac{\int - \frac{e ^{\frac{1}{x}} s i n ( x )}{x ^{2}} d x}{e ^{\frac{1}{x}}}

y = \frac{\int - \frac{e ^{\frac{1}{x}} s i n ( x )}{x ^{2}} d x}{e ^{\frac{1}{x}}}

x \to + 0 lim (3 x^{2})

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

\int \frac{3 a x}{b ^{2} + c ^{2} x ^{2}} d x

y^{^{'}} = 4 x - y

\int s 3^{s} d s

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