What is the solution for (27+x^2)y^'-2xy=0 ?

The solution for (27+x^2)y^'-2xy=0 is y=27e^{c_{1}}+e^{c_{1}}x^2

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(27+x^2)y^'-2xy=0

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

y = 27 e^{c_{1}} + e^{c_{1}} x^{2}

Solution steps

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

Solve separable ODE:

y = 27 e^{c_{1}} + e^{c_{1}} x^{2}

y = 27 e^{c_{1}} + e^{c_{1}} x^{2}

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What is the solution for (27+x^2)y^'-2xy=0 ?
The solution for (27+x^2)y^'-2xy=0 is y=27e^{c_{1}}+e^{c_{1}}x^2