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Differential Equations

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The IVP

$$ \begin{array}{c} \sin (t) \frac{d^{2} x}{d t^{2}}+\cos (t) \frac{d x}{d t}+\sin (t) x=\tan (t) \\ x(0.75)=12 \\ \left.\frac{d x}{d t}\right|_{0,75}=2 \end{array} $$

has a unique solution defined on the interval

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The differenti al equation +p(t) +q@p = r(t), y(%) =Hvy( ) = M has a unique solution on theinterval (a,b) containing xo if p(

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