GATE 2022 : Engineering Mathematics - Differential Equations - 2

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Question 1

The integrating factor of differential equation  is:

• Atan x
• B|tan x|
• Csec x
• D|sec x|

Question 2

Differential equation  is exact. Then the value of m is _______.

• A0
• B0.5
• C1
• D1.5

Question 3

If the function 

• A
• B
• C
• D½

Question 4

For . The value of is ________.If its general solution is .

Answer

Question 5

The partial differential equation

• Ais Parabolic
• Bis Elliptical
• Cis Hyperbolic
• DNone of the above

Question 6

The particular integral of the given differential equation will be-

• Ax³ + x²+ 7
• Bx³ + x² – 7x
• Cx³ – 7x + 7
• Dx³ + x² – 7x + 7

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