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Graded HW 5 Student Total Points 28 / 30 pts Question 1 1 2.5 / 2.5 pts  − 0 pts complete − 2.5 pts incomplete Question 2 2 8 / 10 pts set up equation  + 2 pts correct + 1 pt mistake + 0 pts incorrect/missing general solution  + 3 pts correct + 2 pts mistake + 0 pts incorrect/missing solution ,  + 3 pts correct/consistent + 2 pts mistake + 0 pts incorrect/missing plot the solution + 2 pts correct/consistent + 1 pt mistake  + 0 pts missing  y + ′′ y = m k 0, y (0) = 0, y (0) = ′ −0.4 y ( t ) = C cos (6 t ) + 1 C sint (6 t ) 2 y ( t ) = − sin (6 t ) 15 1 A = m , ω = 15 1 0 6 rad / s , ϕ = 0 rad y ( t ) = − sin (6 t ) 15 1

Question 3 3 2.5 / 2.5 pts  − 0 pts complete − 2.5 pts incomplete Question 4 4 2.5 / 2.5 pts  − 0 pts complete − 2.5 pts incomplete Question 5 5 10 / 10 pts correct equation  + 5 pts correct + 4 pts minor mistake + 0 pts incorrect/missing correct solution  + 5 pts correct/consistent + 4 pts minor mistake + 2 pts major mistake + 0 pts incorrect/missing Question 6 6 2.5 / 2.5 pts  − 0 pts complete − 2.5 pts incomplete W ( t ) = ′ − tW ( t ) W ( t ) = W (0) e − 2 t 2

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