What is the solution for (16+x^2)((dy)/(dx))-2xy=0 ?

The solution for (16+x^2)((dy)/(dx))-2xy=0 is y=16e^{c_{1}}+e^{c_{1}}x^2

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(16+x^2)((dy)/(dx))-2xy=0

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

y = 16 e^{c_{1}} + e^{c_{1}} x^{2}

Solution steps

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

Solve separable ODE:

y = 16 e^{c_{1}} + e^{c_{1}} x^{2}

y = 16 e^{c_{1}} + e^{c_{1}} x^{2}

What is the solution for (16+x^2)((dy)/(dx))-2xy=0 ?
The solution for (16+x^2)((dy)/(dx))-2xy=0 is y=16e^{c_{1}}+e^{c_{1}}x^2