JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Which of the following equation is non-linear

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Correct option: D

x \frac{d y}{d x}+\frac{3}{\frac{d y}{d x}}=y^2

Option D (

x \frac{{d y}}{{d x}}+\frac{{3}}{{\frac{{d y}}{{d x}}}}=y^2

) is non-linear because it contains a term with the derivative in the denominator, which makes it non-linear.

More Questions from DIFFERENTIAL EQUATIONS

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y=y(x)

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x

{x^2} + {y^2} = 1

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x = A\cos 4t + B\sin 4t,

\frac{{{d^2}x}}{{d{t^2}}}

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\frac{d y}{d x}=y+7

y_{1}(0)=0

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y=y(t)

\frac{d y}{d t}+\alpha y=\gamma e^{-\beta t}

\alpha>0, \beta>0

\gamma>0

\lim \limits_{{x \rightarrow \infty}} y(t)