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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Differential Equations

Assertion : For the following equation degree $\large\frac{d^4}{dx^4} $$ +\sin \bigg ( \large\frac{d^2y}{dx^2}\bigg)=0$ Reason : Order of DE is the order of highest differentiate coefficient occurring in the equation

(a) Assertion is true, Reason is true, Reason is correct explanation of Assertion

(b)Assertion is true, Reason is true, Reason is not correct explanation of Assertion

(c)Assertion is false, Reason is true

(d)Assertion is true, Reason is false

1 Answer

$\sin \bigg(\large\frac{d^2y}{dx^2} \bigg) =1- \large\frac{\bigg(\Large\frac{d^2y}{dx^2}\bigg)^3}{3 \!}+\large\frac{\bigg(\Large\frac{d^2y}{dx^2}\bigg)^5}{5 \!}+....$
Here power is increase of derivative
So degree is not defined
Hence c is the correct answer.
answered Jan 31, 2014 by meena.p
 

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