What is the solution for (dy}{dx}=\frac{4x)/y ,y(2)=-2 ?

The solution for (dy}{dx}=\frac{4x)/y ,y(2)=-2 is y=-2sqrt(x^2-3)

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(dy}{dx}=\frac{4x)/y ,y(2)=-2

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

y = - 2 x^{2} - 3

Solution steps

\frac{d y}{d x} = \frac{4 x}{y}

Solve separable ODE:

y = - 2 x^{2} - 3

y = - 2 x^{2} - 3

\frac{d}{d x} (\frac{x ^{3} - 3 x ^{2} + 9}{x ^{2}})

\int (x - 2)^{5} d x

\frac{d}{d x} (12 x^{5} + 45 x^{4} - 200 x^{3} + 4)

y = x^{2} - 2, y = x

(9 + x)^{2} (\frac{100}{x ^{2}} + 1)

What is the solution for (dy}{dx}=\frac{4x)/y ,y(2)=-2 ?
The solution for (dy}{dx}=\frac{4x)/y ,y(2)=-2 is y=-2sqrt(x^2-3)