Consider the ordinary differential equation (ODE) y"+r(x)y=0, where r(x)=x^3sin(frac1x) for xneq0 and r(0)=0. Then which of the following statements are true?

Q92Section C (Part C)92 of 120

Oscillation — zeros of solutions of a second order equation

Consider the ordinary differential equation (ODE) $y"+r(x)y=0$ , where $r(x)=x^3\sin\left(\frac1x\right)$ for $x\neq0$ and $r(0)=0$ . Then which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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