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This mock test of Differential Equations - 8 for Mathematics helps you for every Mathematics entrance exam.
This contains 20 Multiple Choice Questions for Mathematics Differential Equations - 8 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Differential Equations - 8 quiz give you a good mix of easy questions and tough questions. Mathematics
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QUESTION: 1

General solution of equation (sin x - x cos x)y" - (x sin x) y' + (sin x)y = 0, given that y = sin x is a solution

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QUESTION: 2

If M(x, y)dx + N(x, y)dy = 0 and then

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QUESTION: 3

The equation is linear differential equation of first order, if

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QUESTION: 4

The CF for the differential equation (D^{4} + D^{2} + 1) y = ax^{2} - be^{-x} sin2x

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QUESTION: 5

If y '- x ≠ 0, a solution of the differential equation y' (y' + y) = x(x + y) is given, if y(0) = 0

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QUESTION: 6

The solution of the differential equation

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QUESTION: 7

A particular integral of y" - (a + b)y' + aby = Q(x) is,

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QUESTION: 8

The homogeneous differential equation M(x, y)dx, N(x, y) dy = 0 can be reduced to a differential equation, In which the variable are separated, by the substitution

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QUESTION: 9

General solution of

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QUESTION: 10

is the general solution of

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QUESTION: 11

In linear ordinary differential equation, the dependent variable and its differential coefficients are not multiplied together and occurs only in

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QUESTION: 12

General solution of the equation Given that y = sin x is a solution, is

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QUESTION: 13

has the solution

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QUESTION: 14

The P.I. of the differential equation (D^{3} - D)y = e^{x} + e^{-x}, is

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QUESTION: 15

If φ(x, y) = 0 is a singular solution, then φ(x, y) is a factor of

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QUESTION: 16

P.I . of

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QUESTION: 17

The complementaiy function of (D^{4} - a^{4})y = 0 is

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QUESTION: 18

A differential equation of first order and first degree is homogeneous, if

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QUESTION: 19

The integrating factor for the differential equation

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QUESTION: 20

Given, an equation and a solution of it is y = a_{0} + a_{1} sinh x + a_{2} cosh x, where a_{0}, a_{1}, a_{2} are arbitrary constants, then this solution is

Solution:

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