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

The solution for (4-x^2)(dy)/(dx)=2y is y=(c_{1}sqrt(x+2))/(sqrt(x-2))

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(4-x^2)(dy)/(dx)=2y

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

y = \frac{c _{1} x + 2}{x - 2}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1} x + 2}{x - 2}

y = \frac{c _{1} x + 2}{x - 2}

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\int \frac{1}{49 - 64 x ^{2}} d x

What is the solution for (4-x^2)(dy)/(dx)=2y ?
The solution for (4-x^2)(dy)/(dx)=2y is y=(c_{1}sqrt(x+2))/(sqrt(x-2))