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Repeated Roots: Critical Damping | Differential Equations | Mathematics | MIT OpenCourseWare

Repeated Roots: Critical Damping | Differential Equations | Mathematics | MIT OpenCourseWare

2022年4月2日

Repeated roots of the characteristic equation (video) | Khan Academy

Repeated roots of the characteristic equation (video) | Khan Academy

khanacademy.org

SOLVED:The auxiliary equations for the following differential equations have repeated complex roots. Adapt the "repeated root" procedure of Section 4.2 to find theirgeneral solutions: (a) y^iv 2 y^'' y=0 (b)y^i v 4 y^''' 12 y^'' 16 y^' 16 y=0 [Hint:The auxiliary equation is (r^2 2 r 4)^2=0 ..]

SOLVED:The auxiliary equations for the following differential equations have repeated complex roots. Adapt the "repeated root" procedure of Section 4.2 to find theirgeneral solutions: (a) y^iv 2 y^'' y=0 (b)y^i v 4 y^''' 12 y^'' 16 y^' 16 y=0 [Hint:The auxiliary equation is (r^2 2 r 4)^2=0 ..]

2020年3月18日

5.7: Multiple Eigenvalues

5.7: Multiple Eigenvalues

2023年4月22日

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