# Sharma_MAT_275_ONLINE_B_Fall_2015.Mat_275_Final - Anthony...

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SharmaMAT275ONLINEBFall2015Problem 1. 1.(5 pts) Write the given second order equationas its equivalent system of first order equations.u3u3.5u=5sin(3t),u(1) =3,u(1) =4.5Usevto represent the ”velocity function”, i.e.v=u(t).Usevandufor the two functions, rather thanu(t)andv(t). (Thelatter confuses webwork. Functions like sin(t)are ok.)u=v=Now write the system using matrices:ddtuv=uv+and the initial value for the vector valued function is:u(1)v(1)=.-2*eˆ(-9*t)*1 + -1*1Problem 3. 3.(5 pts) Solve the systemdxdt=3913xwithx(0) =24.Give your solution in real form.x1=,x2=.Answer(s) submitted:3.5-2*eˆ(-9*t)*4 + -1*1-2*eˆ(-9*t)*1 + -1*1Problem 3. 3.(5 pts) Solve the systemdxdt=3913xwithx(0) =24.Give your solution in real form.x1=,x2=.Answer(s) submitted:2+42t4-14t(correct)

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