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(Solved): In Problems \( 7-10, x=c_{1} \cos t+c_{2} \sin t \) is a two-parameter family of solutions of the ...



In Problems \( 7-10, x=c_{1} \cos t+c_{2} \sin t \) is a two-parameter family of solutions of the second-order \( \mathrm{DE}

In Problems \( 7-10, x=c_{1} \cos t+c_{2} \sin t \) is a two-parameter family of solutions of the second-order \( \mathrm{DE} x^{\prime \prime}+x=0 \). Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. 8. \( x(\pi / 2)=0, \quad x^{\prime}(\pi / 2)=1 \)


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