JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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The order and the degree of differential equation

5 \frac{d^2 y}{d x^2}=\left(1+\left(\frac{d y}{d x}\right)^2\right)^{\frac{3}{2}}

are .... and .... respectively.

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Correct option: C

2,2

Option C (2,2) is correct because the highest order derivative is 2 and its power is 2 after squaring both sides.

More Questions from DIFFERENTIAL EQUATIONS

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y=y(x)

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\left|(y(2))^{3}-12 y(2)\right|

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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y=y_{2}(x)

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)