Differential equation representing the family of curves given by y - ax - x 2 is-A- d y-d x-a-2 xB- y-d y-d x-x2C- d y-d x-a-2 xD- d y-d x-y-x2

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Cramer's Rule

Differential ...

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Differential equation representing the family of curves given by y = ax + x² is:

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The differential equation of the family of curves represented by the equation $x^{2} y = a$ , is

\frac{d y}{d x} = \frac{x^{2} + x + 1}{y^{2} + y + 1}

\frac{d y}{d x} + \frac{y^{2} + y + 1}{x^{2} + x + 1} = 0

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

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

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

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

If $y = c e^{s i n^{- 1} x},$ then corresponding to this the differential equation is

y = e^{x} (A c o s x + B s i n x)

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

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