Question: 2) Let y+a2y=f(x);y(0)=0 and y(0)=0 be the given Initial Value Problem. Show that y=a10xf(t)sin(axat)dt satisfies this Initial Value Problem. Hint: sin(axat)=sinaxcosatcosaxsinat

 2) Let y+a2y=f(x);y(0)=0 and y(0)=0 be the given Initial Value Problem.

2) Let y+a2y=f(x);y(0)=0 and y(0)=0 be the given Initial Value Problem. Show that y=a10xf(t)sin(axat)dt satisfies this Initial Value Problem. Hint: sin(axat)=sinaxcosatcosaxsinat

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