GATE CH topic:differential-equations PYQs & Answers

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topic:differential-equations

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 12. Imported answers require independent review unless marked reviewed.

Topic practice 12 questionsPage 1 of 2

Consider a differential equation:

The value of y at x = 2 is ______ (rounded off to two decimal places).

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Consider the differential equation

Choose the CORRECT option(s) for the solution

Your answerSelect all correct options. You can choose more than one.

;

is a constant

;

is a constant

;

is a constant

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Consider the ordinary differential equation

, with the boundary conditions

and

. The solution

, rounded off to 2 decimal places, is ________

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The position

of a particle, at constant

, is described by the equation

The initial conditions are

and

. The position of the particle at

is __________ (in integer).

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The partial differential equation

where,

and

, is subjected to the following initial and boundary conditions:

The value of

at which

Your answerChoose one option.

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For the ordinary differential equation

with initial conditions

, the value of

________ (round off to 3 decimal places).

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Consider the following unit step function.

Diagram for Chemical Engineering question 4

The Laplace transform of this function is

Your answerChoose one option.

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The solution of the ordinary differential equation

, subject to the initial condition

, is

Your answerChoose one option.

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Consider the following two equations:

The above set of equations is represented by

Your answerChoose one option.

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The initial water level in a tank is 4 m. When the valve located at the bottom is opened, the rate of change of water level (L) with respect to time (t) is, dL/dt = −k√t, where k = 0.6 m s⁻³ᐟ². The level of water (in m) in the tank at time 0.5 s after opening the valve is __________ (rounded off to second decimal place).

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GATE CH topic:differential-equations PYQs

How to practice topic:differential-equations

Question 62

Question 44

Question 52

Question 31

Question 36

Question 36

Question 4

Question 26

Question 1

Question 25