table[[8. Initial-Value Problems: In Problems below x,x(( pi )/(4))= sqrt(2)x^(')(( pi )/(4))=2 sqrt(2)]]= sqrt(2)x^(')(( pi )/(4))=2 sqrt(2)=c_(1)cost+c_(2)sint is a two-parameter family of solutions of the second-order DE x^('')+x=0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions

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table[[8. Initial-Value Problems: In Problems below x,x(( pi )/(4))= sqrt(2)x^(')(( pi )/(4))=2 sqrt(2)]]= sqrt(2)x^(')(( pi )/(4))=2 sqrt(2)=c_(1)cost+c_(2)sint is a two-parameter family of solutions of the second-order DE x^('')+x=0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.

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(Solved): \table[[8. Initial-Value Problems: In Problems below x,x((\pi )/(4))=\sqrt(2)x^(')((\pi )/(4))=2\sqr ...

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