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

The solution for y(dx)/(dy)-x=2,y^2y(1)=5 is y=2e^{c_{1}}+e^{c_{1}}x

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

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

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

Solution steps

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

Solve separable ODE:

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

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

y^{^{'}} + \frac{1}{2} (x - 2) y^{2} = 0, y (\frac{1}{10}) = 6

(3 y^{2} - 3) d x + (5 x y) d y = 0

f^{^{'}} (x) = 4 f (x)

x - 1 \frac{d y}{d x} = \frac{x}{y}, y = 1, y > 0, x = 2

y^{^{'}} - \frac{y}{1 + e ^{x}} = 0

What is the solution for y(dx)/(dy)-x=2,y^2y(1)=5 ?
The solution for y(dx)/(dy)-x=2,y^2y(1)=5 is y=2e^{c_{1}}+e^{c_{1}}x