Lecture 5 Notes

# Differential equation operator denition equation in

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Unformatted text preview: 4 3x1 + 4x2 = 7 Operator deﬁnition Ax = ￿ 1 3 ￿￿ ￿ 2 x1 4 x2 Equation in operator notation ￿￿ 4 Ax = 7 Some differential equations we’ve seen, written in operator notation. Differential equation Operator deﬁnition Equation in operator notation Some connections to linear (matrix) algebra Systems of equations written in operator notation. System of equations x1 + 2x2 = 4 3x1 + 4x2 = 7 Operator deﬁnition Ax = ￿ 1 3 ￿￿ ￿ 2 x1 4 x2 Equation in operator notation ￿￿ 4 Ax = 7 Some differential equations we’ve seen, written in operator notation. Differential equation dy 2 t + 2y = 4t dt Operator deﬁnition Equation in operator notation Some connections to linear (matrix) algebra Systems of equations written in operator notation. System of equations x1 + 2x2 = 4 3x1 + 4x2 = 7 Operator deﬁnition Ax = ￿ 1 3 ￿￿ ￿ 2 x1 4 x2 Equation in operator notation ￿￿ 4 Ax = 7 Some differential equations we’ve seen, written in operator notation. Differential equation Operator deﬁnition dy 2 t + 2y = 4t dt dy L[y ] = t + 2y dt Equation in operator notation Some connections to linear (matrix) algebra Systems of equations written in operator notation. System of equations x1 + 2x2 = 4 3x1 + 4x2 = 7 Operator deﬁnition Ax = ￿ 1 3 ￿￿ ￿ 2 x1 4 x2 Equation in operator notation ￿￿ 4 Ax = 7 Some differential equations we’ve seen, written in operator notation. Differential equation Operator deﬁnition Equation in operator notation dy 2 t + 2y = 4t dt dy L[y ] = t + 2y dt L[y ] = 4t 2 Some connections to linear (matrix) algebra Systems of equations written in operator notation. System of equations x1 + 2x2 = 4 3x1 + 4x2 = 7 Operator deﬁnition Ax = ￿ 1 3 ￿￿ ￿ 2 x1 4 x2 Equation in operator notation ￿￿ 4 Ax = 7 Some differential equations we’ve seen, written in operator notation. Differential equation Operator deﬁnition Equation in operator notation dy 2 t + 2y = 4t dt dy L[y ] = t + 2...
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## This note was uploaded on 02/12/2014 for the course MATH 256 taught by Professor Ericcytrynbaum during the Spring '13 term at UBC.

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