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GATE ES 2022 | Question: 26

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Given, $y=f(x) ; \frac{d^{2} y}{d x^{2}}+4 y=0 ; y(0)=0 ; \frac{d y}{d x}(0)=1$. The problem is a/an

  1. initial value problem having solution $\mathrm{y}=x$
  2. boundary value problem having solution $\mathrm{y}=x$
  3. initial value problem having solution $\mathrm{y}=\frac{1}{2} \sin 2 x$
  4. boundary value problem having solution $\mathrm{y}=\frac{1}{2} \sin 2 x$

     

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