What is the solution for sqrt(4-x^2)((dy)/(dx))=y^2,y=5,x=1 ?

The solution for sqrt(4-x^2)((dy)/(dx))=y^2,y=5,x=1 is y=-(30)/(30arcsin(x/2)-6-5pi)

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sqrt(4-x^2)((dy)/(dx))=y^2,y=5,x=1

4 - x^{2} (\frac{d y}{d x}) = y^{2}, y = 5, x = 1

y = - \frac{30}{30 arcsin ( \frac{x}{2} ) - 6 - 5 π}

Solution steps

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

Solve separable ODE:

y = - \frac{30}{30 arcsin ( \frac{x}{2} ) - 6 - 5 π}

y = - \frac{30}{30 arcsin ( \frac{x}{2} ) - 6 - 5 π}

x d x + (y e^{- x}) d y = 0

x y^{^{'}} + 8 y + 7 = 7 x^{2} y^{^{'}} + 7 y

y^{^{'}} = sin (y) \cdot tan (y)

\frac{d y}{d x} = (\frac{x + 1}{y})

y^{^{'}} = 4 + 14 x + 12 y + 42 x y

What is the solution for sqrt(4-x^2)((dy)/(dx))=y^2,y=5,x=1 ?
The solution for sqrt(4-x^2)((dy)/(dx))=y^2,y=5,x=1 is y=-(30)/(30arcsin(x/2)-6-5pi)