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Engineering Mathematics
Differential Equations
First Order Differential Equations

Questions mapped to First Order Differential Equations under Differential Equations.

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Q#1 Differential Equations GATE EE 2024 (Set 1) MSQ +2 marks -0 marks

Which of the following differential equations is/are nonlinear?

,  

,  

,  

,

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Q#2 Differential Equations GATE EE 2019 (Set 1) MCQ +1 mark -0.33 marks

The partial differential equation

 is known as

Poisson’s equation

Wave equation

Heat equation

Laplace equation

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Q#3 Differential Equations GATE EE 2017 (Set 1) MCQ +2 marks -0.66 marks

Consider the differential equation . There exists a unique solution for this differential equation when t belongs to the interval

(–2, 2)

(–10, 10)

(–10, 2)

(0, 10)

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Q#4 Differential Equations GATE EE 2016 (Set 1) MCQ +1 mark -0.33 marks

A function y(t), such that  and , is a solution of the differential equation . Then y(2) is

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Q#5 Differential Equations GATE EE 2015 (Set 1) NAT +2 marks -0 marks

A solution of the ordinary differential equation  is such that y(0) = 2 and . The value of  is ________.

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Q#6 Differential Equations GATE EE 2015 (Set 2) NAT +2 marks -0 marks

A differential equation  is applicable over – 10 < t < 10. If , then i(-5) is ___________.

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Q#7 Differential Equations GATE EE 2014 (Set 2) MCQ +1 mark -0.33 marks

Consider the differential equation

. Which of the following is a solution to this differential equation for x > 0?

1/x

In x

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Q#8 Differential Equations GATE EE 2012 (Set 1) MCQ +1 mark -0.33 marks

With initial condition x(1) = 0.5, the solution of the differential equation  is

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Q#9 Differential Equations GATE EE 2011 (Set 1) MCQ +1 mark -0.33 marks

With K as a constant, the possible solution for the first order differential equation is

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Q#10 Differential Equations GATE EE 2005 (Set 1) MCQ +1 mark -0.33 marks

The solution of the first order differential equation  is:

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Q#11 Differential Equations GATE EE 2005 (Set 1) MCQ +2 marks -0.66 marks

For the equation, the solution x(t) approaches the following values at t →∞

0

5

10

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