Pure 2.7 - Methods in Differential Equations Flashcards

1
Q

How would you solve a first-order differential equation of the form (dš‘¦/dš‘„)+P(š‘„)š‘¦=Q(š‘„)?

A

By multiplying every term by the integrating factor e^(āˆ«P(š‘„)dš‘„).

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2
Q

What is a second-order homogeneous differential equation?

A

A linear differential equation of the form š‘Ž(dĀ²š‘¦/dš‘„Ā²)+š‘(dš‘¦/dš‘„)+š‘š‘¦=0

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