Maths WorkshopMaths problems with full solutions

Linear equations of order two

6 problems · Second-order linear differential equations with constant coefficients.

Ex.382Complex conjugate roots
#characteristic equation #complex roots #oscillation
Linear equations of order two
L1
L1
Ex.383A double root
#characteristic equation #double root #homogeneous equation
Linear equations of order two
L1
L1
Ex.384Distinct real roots
#characteristic equation #real roots #homogeneous equation
Linear equations of order two
L1
L1
Ex.1500Resonance with a double root
#resonance #double root #particular solution #identification
Linear equations of order two
L2
L2
Ex.1501A second-order equation with a polynomial right-hand side
#particular solution #identification #polynomial right-hand side
Linear equations of order two
L2
L2
Ex.2076Superposition of right-hand sides
#superposition #double root #polynomial right-hand side
Linear equations of order two
L2
L2