What is the solution for (dy)/(dx)-y/(sqrt(1-x^2))=0 ?

The solution for (dy)/(dx)-y/(sqrt(1-x^2))=0 is y=e^{arcsin(x)+c_{1}}

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(dy)/(dx)-y/(sqrt(1-x^2))=0

\frac{d y}{d x} - \frac{y}{1 - x ^{2}} = 0

y = e^{a r c s i n (x) + c_{1}}

Solution steps

\frac{d y}{d x} - \frac{y}{1 - x ^{2}} = 0

Solve separable ODE:

y = e^{a r c s i n (x) + c_{1}}

y = e^{a r c s i n (x) + c_{1}}

\frac{d y}{d x} = 5 x sec (y)

3 x (y^{2} + 1) d x + y (x^{2} + 1) d y = 0

\frac{d y}{d x} = - y, y (0) = 1

y^{2} y^{^{'}} - cos (x) = 0

(1 + y^{2}) cos (x) d x - \frac{1}{x} d y = 0

What is the solution for (dy)/(dx)-y/(sqrt(1-x^2))=0 ?
The solution for (dy)/(dx)-y/(sqrt(1-x^2))=0 is y=e^{arcsin(x)+c_{1}}