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Systems - MAT 2384-Practice Problems on Systems of...

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MAT 2384-Practice Problems on Systems of Differential Equations In each case, solve the Systems of Differential Equations ~ Y 0 = A ~ Y + ~ F ( x ) for the given matrix A and the vector ~ F ( x ). If an initial condition is given, solve the corresponding IVP. 1. A = " 1 0 0 - 1 # , ~ F ( x ) = " 2 e x 3 e - 2 x # 2. A = " 0 1 - 1 0 # , ~ F ( x ) = " 4 e - x e - 2 x # , ~ Y (0) = " 5 7 - 5 4 # 3. A = " - 1 1 - 1 - 1 # , ~ F ( x ) = " 2 e x 3 x # 4. A = " 4 - 1 1 2 # , ~ F ( x ) = " 3 x 2 + 2 x + 1 x + 2 # 5. A = " 3 1 7 - 3 # , ~ F ( x ) = " - 3 sin(3 x ) 9 cos(3 x ) - 16 sin(3 x ) # 6. A = " 5 4 1 2 # , ~ F ( x ) = " - 5 x 2 + 6 x
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