GATE 2023 PI – Question 12
Which differential equation is nonlinear?
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Correct answer: (B) $y^{\prime\prime}+(y^\prime)^2+10y=0$
Explanation
A linear equation contains y and its derivatives only to the first power, with coefficients depending on x. The squared derivative in **B** violates this condition. The independent forcing term in C and variable coefficient 10x in D do not make an equation nonlinear.