Lecture 1 Notes

3 linearity a de is linear if it is linear in the

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Unformatted text preview: EI 4 = q dx ￿ r2 = rP − P K <--- Nonlinear Classifying DEs (Section 1.3) • Linearity - a DE is linear if it is linear in the unknown function and all its derivatives. • (A) Linear or (B) nonlinear: dP = rP dt ￿ P 1− K d4 w EI 4 = q dx ￿ r2 = rP − P K <--- Nonlinear <--- Linear Classifying DEs (Section 1.3) • Linearity - a DE is linear if it is linear in the unknown function and all its derivatives. • (A) Linear or (B) nonlinear: dP = rP dt ￿ P 1− K d4 w EI 4 = q dx 2 dy t + y = sin(t) dt ￿ r2 = rP − P K <--- Nonlinear <--- Linear Classifying DEs (Section 1.3) • Linearity - a DE is linear if it is linear in the unknown function and all its derivatives. • (A) Linear or (B) nonlinear: dP = rP dt ￿ P 1− K d4 w EI 4 = q dx 2 dy t + y = sin(t) dt ￿ r2 = rP − P K <--- Nonlinear <--- Linear <--- Linear Classifying DEs (Section 1.3) • Linearity - a DE is linear if it is linear in the unknown function and all its derivatives. • (A) Linear or (B) nonlinear: dP = rP dt ￿ P 1− K ￿ d4 w EI 4 = q dx 2 dy...
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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 The University of British Columbia.

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