DE of a family of parabolas

1. A.
   $x^2\frac{dy}{dx} - y = 0$
2. B.
   $x\frac{dy}{dx} + 2y = 0$
3. C.
   $x\frac{dy}{dx} = 2y$
4. D.
   $x^3\frac{dy}{dx} = 3y$

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1. A.
   $y_3=1$
2. B.
   $y_3=-1$
3. C.
   $y_3=0$
4. D.
   $y\cdot y_3+y_1=0$

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1. A.
   $x\frac{\text{ }dy}{\text{ }dx} - 2y = 0$
2. B.
   $\frac{dy}{\text{ }dx} + xy = 0$
3. C.
   $x\frac{\text{ }dy}{\text{ }dx} + y = 0$
4. D.
   $x^{2}\frac{\text{ }dy}{dx} + y = 0$

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1. A.
   $1$
2. B.
   $2$
3. C.
   $3$
4. D.
   not defined

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1. A.
   $\dfrac{d^2y}{dx^2} + x\dfrac{dy}{dx} = 0$
2. B.
   $x\dfrac{d^2y}{dx^2} - \dfrac{dy}{dx} = 0$
3. C.
   $\dfrac{d^2y}{dx^2} - x\dfrac{dy}{dx} = 0$
4. D.
   $x\dfrac{d^2y}{dx^2} + \dfrac{dy}{dx} = 0$

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1. A.
   $1$
2. B.
   $2$
3. C.
   $3$
4. D.
   $4$

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1. A.
   $1$
2. B.
   $2$
3. C.
   $3$
4. D.
   $4$

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