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Engineering Mathematics
Differential Equations
Higher Order Differential Equations

Questions mapped to Higher Order Differential Equations under Differential Equations.

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Q#1 Differential Equations GATE EE 2026 (Set 1) MCQ +1 mark -0.33 marks

Consider the following differential equation:

Which one of the following options is correct?

It is a linear differential equation

It is a nonlinear differential equation

It is a time-invariant differential equation

It is a second-order partial differential equation

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Q#2 Differential Equations GATE EE 2026 (Set 1) MCQ +2 marks -0.66 marks

Consider the second-order differential equation

with initial conditions         

The solution is given by

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Q#3 Differential Equations GATE EE 2025 (Set 1) NAT +2 marks -0 marks

Consider ordinary differential equations given by

 

 

with initial conditions  and .

If , then at  __________ (round off to the nearest integer).

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Q#4 Differential Equations GATE EE 2020 (Set 1) NAT +1 mark -0 marks

Consider the initial value problem below. The value of  at . (rounded off to 3 decimal places) is __________.

 

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Q#5 Differential Equations GATE EE 2016 (Set 2) MCQ +1 mark -0.33 marks

The solution of the differential equation, for ,  with initial conditions y(0) = 0 and , is (u(t) denotes the unit step function),

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Q#6 Differential Equations GATE EE 2016 (Set 2) NAT +2 marks -0 marks

Let y(x) be the solution of the differential equation  with initial conditions y(0) = 0 and . Then the value of y(1) is_______________.

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Q#7 Differential Equations GATE EE 2014 (Set 1) MCQ +1 mark -0.33 marks

The solution for the differential equation

with initial conditions  and , is

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Q#8 Differential Equations GATE EE 2012 (Set 1) MCQ +2 marks -0.66 marks

Consider the differential equation

 with

 and

The numerical value of  is

-2

-1

0

1

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Q#9 Differential Equations GATE EE 2010 (Set 1) MCQ +2 marks -0.66 marks

For the differential equation  with initial conditions  and. The solution is

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