Lecture 1 Notes

A linear or b nonlinear dp rp dt p 1 k r2 rp

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Unformatted text preview: ): (A) first order (B) second order (C) third order (D) fourth order 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: 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 ￿ 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 ￿ r2 = rP − P K 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 ￿ 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...
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