EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2020 (12-Oct Shift-1)>Q 18

HARD

MHT-CET

IMPORTANT

Earn 100

If the body cools from $135 ° C$ to $80 ° C$ at room temperature of $25 ° C$ in $60$ minutes, then the temperature of body after $2$ hours is

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Important Questions on Differential Equations

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2020 (12-Oct Shift-1)>Q 1

Degree of the differential equation

e^{\frac{d y}{d x}} + {(\frac{d y}{d x})}^{3} = x

is

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2018>Q 2

The order of the differential equation of all parabolas, whose latus rectum is

4 a

and axis parallel to the

x

-axis, is

HARD

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2020 (13-Oct Shift 1)>Q 3

The general solution of the differential equation

\sec^{2} x

\tan y

d x + \sec^{2} y

\tan x

d y = 0

is

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2017>Q 4

The solution of the differential equation

\frac{d y}{d x} = \tan (\frac{y}{x}) + \frac{y}{x}

is

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2017>Q 5

The differential equation of all parabolas whose axis is

y - a x i s

is

HARD

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2020 (13-Oct Shift 1)>Q 6

The equation of the curve which passes through point

(1, 0)

and has tangent with the slope

1 + \frac{y}{x} + {(\frac{y}{x})}^{2}

is

EASY

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2020 (13-Oct Shift 1)>Q 7

The integrating factor of the differential equation

\frac{d y}{d x} + \frac{1}{x} y = x^{3} - 3

is

HARD

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Differential Equations>MHT-CET 2020 (12-Oct Shift-1)>Q 8

The solution of the differential equation

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

is