Find the solution with the given initial condition. r"(1) = (e', sin (t), cos (f)), r(0) = (1,0, 1), r' (0) = (0, 6, 6) (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notatio and fractions where needed.) r(t) =

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.