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Engineering Mathematics
Differential Equations

Practice questions from Differential Equations.

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Q#1 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).

Explanation:

Given:

 

 

Initial conditions:  &

Input,

 

 

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

Which of the following differential equations is/are nonlinear?

,  

,  

,  

,

Explanation:

For linearity,  and its derivatives should exist separately in each term only.

Also neither the function or any of its derivatives should appear in exponential or transcendental functions.