GATE CE topic:differential-equations PYQs & Answers — Page 2

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topic:differential-equations

Questions 11–20 of 23. Imported answers require independent review unless marked reviewed.

Topic practice 23 questionsPage 2 of 3

The solution of the second-order differential equation

with boundary conditions

and

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is a constant, the general solution of

will be in the form of

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The ordinary differential equation

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linear and homogeneous

linear and nonhomogeneous

nonlinear and homogeneous

nonlinear and nonhomogeneous

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For the Ordinary Differential Equation

, with initial conditions

and

, the solution is

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An ordinary differential equation is given below

The general solution of the above equation (with constants

and

), is

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The Laplace transform of

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An ordinary differential equation is given below.

The solution for the above equation is (Note:

denotes a constant in the options)

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Consider the ordinary differential equation

. Given the values of y(1) = 0 and y(2) = 2, the value of y(3) (round off to 1 decimal place), is ________.

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The solution of the equation

passing through the point

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The Laplace transform

of the exponential function,

when

, where

is a constant and

, is

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GATE CE topic:differential-equations PYQs

Question 26

Question 26

Question 1

Question 26

Question 26

Question 2

Question 28

Question 44

Question 1

Question 27