Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 11

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IMPORTANT

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The equation of the curve for which the cartesian sub-tangent varies as the reciprocal of the square of the abscissa, is

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Important Questions on Differential Equations

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JEE Advanced

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 13

The solution of

\frac{d y}{d x} = \frac{a x + g}{b y + f}

represents a circle, when

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 14

If

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

and

f (0) = 3,

then

f (2)

equals

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 15

The solution of the differential equation

x d y - y d x = 0

represents

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 16

The general solution of the differential equation

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

is

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 17

The number of straight lines which satisfy the differential equation

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

, is

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JEE Advanced

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 18

The solution of the differential equation

2 x \frac{d y}{d x} - y = 3

represents

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 19

The solution of the differential equation

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

which satisfies

y = 1

at

x = 1,

is

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JEE Advanced

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Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 12 - Differential Equations>Target Exercises>Q 20

The differential equation of parabola having their axis of symmetry coinciding with

X

-axis, is