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Find the solution of the differentialequation 𝐫″(𝑡)=〈𝑒10𝑡−10,𝑡2−1,1〉r″(t)=〈e10t−10,t2−1,1〉 withthe initialconditions 𝐫(1)=〈0,0,6〉,𝐫′(1)=〈8,0,0〉.r(1)=〈0,0,6〉,r′(1)=〈8,0,0〉.
(Use symbolic notation and fractions where needed. Give youranswer in vector form.)
Find the solution of the differential equation r"(t) = (e¹0t-10, ț² – 1, 1) with the initial conditions r(1) = (0, 0, 6), r' (1) = (8,0,0). (Use symbolic notation and fractions where needed. Give your answer in vector form.) r(t) =