Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 30

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What is the solution of the differential equation $x d y - y d x = 0 ?$

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Important Questions on Differential Equation

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IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 31

The solution of the differential equation

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

is

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IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 32

The solution of cos

(x + y) d y = d x

is

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Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 33

If

y = y (x), y \in [0, \frac{π}{2})

is the solution of the differential equation

\sec y \frac{d y}{d x} - \sin (x + y) - \sin (x - y) = 0,

with

y (0) = 0

, then

5 y^{'} (\frac{π}{2})

is equal to _____.

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Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 34

The solution of the differential equation

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

when

y (0) = 3

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Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 35

Solution of differential equation

d y - \sin x \sin y d x = 0

is

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NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 36

A curve passes through the point

(1, \frac{π}{4})

and its slope at any point is given by

\frac{y}{x} - \cos^{2} (\frac{y}{x})

. Then, the curve has the equation

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Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 37

The integrating factor of the differential equation

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

is

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Mathematics Crash Course NDA & NA EE>Chapter 28 - Differential Equation>Exercise 1>Q 38

The solution of

d y = \cos x (2 - y cosec x) d x

, where

y = 2

when

x = \frac{π}{2}

, is