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Question Number 190259 by jlewis last updated on 30/Mar/23

$$\mathrm{solve}\mathrm{the}\mathrm{differential}$$$$\mathrm{equation}.$$$$\frac{{\mathrm{d}}^2}{{\mathrm{dt}}^2}\mathrm{x}+{\omega }^2\mathrm{x}\left(\mathrm{t}\right)=0$$$$;\mathrm{x}\left(0\right)=0;{\mathrm{x}}^2\left(0\right)={\upsilon }_{\mathrm{o}}$$

Commented by mr W last updated on 30/Mar/23

$$x\left(t\right)=\frac{v_0}{\omega }\sin \omega t$$

Commented by mehdee42 last updated on 30/Mar/23

$$x^2\left(0\right)=0\ne v_0$$

Commented by mr W last updated on 31/Mar/23

$$x\left(0\right)=0and{x}^2\left(0\right)=v_{0}isnon-sense.$$$$itismeant{x}^{\prime }\left(0\right)=v_0,seequestion$$$$below.$$

Commented by mehdee42 last updated on 31/Mar/23

$$exactly.youareright.itwasstrangformrtoo.$$$$thequestionistypedincorrectly.thankyouverymuch$$

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