Other Math Archive: Questions from October 30, 2022
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(2 points) Let \( x, y, z \) be (non-zero) vectors and suppose \( w=-2 x-y-3 z \). If \( z=-2 x-y \), then \( w= \) Using the calculation above, mark the statements below that must be true. A. \( \ope2 answers -
Solve \( \begin{array}{ll}x^{\prime}=y-x+t & x(0)=1 \\ y^{\prime}=y & y(0)=8\end{array} \) \( x(t)= \) help (formulas) \( y(t)= \) help (formulas)2 answers -
Solve the following initial value problem. \[ y^{\prime \prime \prime}-4 y^{\prime \prime}+y^{\prime}+6 y=0 ; \quad y(0)=-1, \quad y^{\prime}(0)=3, \quad y^{\prime \prime}(0)=-3 \]2 answers