WHite the Nen secxand ordeequation as is equivalent svstem of hrst order equations. u"+7.5u-3.5u = -4 sin(3t), u(1) =-8, u'(1) = -6.5 Use a to represent the velocity funcrion". ie. v=(). Use o and u for the nwo functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) -7.5v+3.5u-4 sin 3t Now write the system using matrices: d dt 3.5 7.5 4 sin(3t) and the initial value for the vector valued function is: u(1) v(1) 3.5

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