MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 37

EASY

12th CBSE

IMPORTANT

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If $p$ and $q$ are the order and degree of the differential equation $y \frac{d y}{d x} + x^{3} \frac{d^{2} y}{d x^{2}} + x y = \cos x$ , then

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Important Questions on Differential Equations

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 38

Which of the following is the integrating factor of

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

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 39

What is integrating factor of

\frac{d y}{d x} + y \sec x = \tan x

?

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 40

Integrating factor of the differential equation

\cos x \frac{d y}{d x} + y \sin x = 1

, is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 41

The degree of the differential equation

{(\frac{d^{2} y}{d x^{2}})}^{3} + {(\frac{d y}{d x})}^{2} + \sin (\frac{d y}{d x}) + 1 = 0

is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 42

The order of the differential equation

2 x^{2} \frac{d^{2} y}{d x^{2}} - 3 \frac{d y}{d x} + y = 0

, is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 43

The number of arbitrary constants in the general solution of differential equation of fourth order is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 44

The number of arbitrary constants in the particular solution of a differential equation of third order is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 3 - Differential Equations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 45

Which of the following differential equations has

y = {C_{1}}^{e x} + C_{2} e^{- x}

as the general solution?