What is the solution for y^'-(cos(x))y=(e^{sin(x)})/(sqrt(1-x^2)) ?

The solution for y^'-(cos(x))y=(e^{sin(x)})/(sqrt(1-x^2)) is y=e^{sin(x)}arcsin(x)+c_{1}e^{sin(x)}

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y^'-(cos(x))y=(e^{sin(x)})/(sqrt(1-x^2))

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

y = e^{s i n (x)} arcsin (x) + c_{1} e^{s i n (x)}

Solution steps

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

Solve linear ODE:

y = e^{s i n (x)} arcsin (x) + c_{1} e^{s i n (x)}

y = e^{s i n (x)} arcsin (x) + c_{1} e^{s i n (x)}

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x \to 0 + lim (sin (x) \cdot ln (3 x))

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What is the solution for y^'-(cos(x))y=(e^{sin(x)})/(sqrt(1-x^2)) ?
The solution for y^'-(cos(x))y=(e^{sin(x)})/(sqrt(1-x^2)) is y=e^{sin(x)}arcsin(x)+c_{1}e^{sin(x)}