EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 26 - Differential Equation>AMU-AT (B.Tech.) 2019>Q 1

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IMPORTANT

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A curve having the condition that the slope of tangent at some point is two times the slope of the straight line joining the same point to the origin of co-ordinates, is a/an

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Important Questions on Differential Equation

EASY

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 26 - Differential Equation>AMU-AT (B.Tech.) 2019>Q 2

If

a

is an arbitrary constant, then solution of the differential equation

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

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 26 - Differential Equation>AMU-AT (B.Tech.) 2019>Q 3

The solution of the equation

x^{2} \frac{d^{2} y}{d x^{2}} = \log x

when

x = 1, y = 0

and

\frac{d y}{d x} = - 1

is

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 26 - Differential Equation>AMU-AT (B.Tech.) 2018>Q 4

The solution of the differential equation

\frac{d y}{d x} = \frac{2 x y - y^{2}}{2 x y - x^{2}},

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 26 - Differential Equation>AMU-AT (B.Tech.) 2018>Q 5

y = a \cos (\log x) + b \sin (\log x)

is a solutión of the differential equation

EASY

AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 26 - Differential Equation>AMU-AT (B.Tech.) 2017>Q 6

The integrating factor of the differential equation

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

is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 26 - Differential Equation>AMU-AT (B.Tech.) 2017>Q 7

The function

y = c_{1} \cos x + c_{2} \sin x

is a solution of the

D E,

where

c_{1}

and

c_{2}

are real numbers

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AMU-AT (B.Tech.)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 26 - Differential Equation>AMU-AT (B.Tech.) 2017>Q 8

The general solution of differential equation

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

is