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PROBLEM 3c[4 Points] In problem 3a you found some A such the we can write 0t0u(t)=Au(t). Using this fact and the Backward Eules method, write the linear system you would solve to find u(t) in terms of u(th4). That is, your answer should be in the form Bu(t)=u(tht). PROBLEM 34 [4 Points] Explalu how to determine u(kh4) fot any k>0. Considering that BR(N1)(N1) is a constant coefficient matrix, comment on why it would be advantageous to utilize a matrix decomposition in determining u(kh4) for any k>1. PROBLEM 3c[4 Points] In problem 3a you found some A such the we can write 0t0u(t)=Au(t). Using this fact and the Backward Eules method, write the linear system you would solve to find u(t) in terms of u(th4). That is, your answer should be in the form Bu(t)=u(tht). PROBLEM 34 [4 Points] Explalu how to determine u(kh4) fot any k>0. Considering that BR(N1)(N1) is a constant coefficient matrix, comment on why it would be advantageous to utilize a matrix decomposition in determining u(kh4) for any k>1