Notes on Diffy Qs: Differential Equations for Engineers by Jiří Lebl

By Jiří Lebl.

Table of contents

1.3 Separable equations

Online text: www.jirka.org/diffyqs/html/separable_section.html

Cited passages: Notes on Diffy Qs, §1.3.2 Implicit solutions: implicit differentiation, multiple branches, and selection by an initial condition.

1.5 Substitution

Online text: www.jirka.org/diffyqs/html/substitution_section.html

Cited passages: Notes on Diffy Qs, §1.5.2 Bernoulli equations: substitution v equals y to the power 1 minus n; n equals 0 or 1 is already linear; Example 1.5.1 selects the positive root using its initial condition.

1.4 Linear equations and the integrating factor

Online text: www.jirka.org/diffyqs/html/intfactor_section.html

Cited passages: Notes on Diffy Qs, §1.4 Linear equations and the integrating factor: product derivative, formula (1.4), and Remark 1.4.1 on existence throughout a coefficient-continuity interval.

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