GATE CE 2020 Set 2 — Question 11
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Engineering Mathematics → Ordinary Differential Equations → Higher-Order Linear ODEs
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Question
The ordinary differential equation is
Correct answer
(B) linear and nonhomogeneous
Solution
The differential equation is of the form . Here , , , and . Since the dependent variable and its derivatives appear linearly (power 1, no products), it is a linear ODE. Since , it is nonhomogeneous.
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