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Homogeneous Second-Order Differential Equations

11th Grade · Math · UK A-Level

7 lessons

Goal

Solve homogeneous second-order linear differential equations with constant coefficients by forming the auxiliary equation and relating the discriminant to the form of the solution.

7 lessons
0 of 7 done
  1. Introduction to Second-Order Linear Differential EquationsUp next
  2. The Auxiliary EquationYou are here
  3. Solving the Homogeneous Case: Real Distinct RootsNot started yet
  4. Solving the Homogeneous Case: Repeated RootNot started yet
  5. Solving the Homogeneous Case: Complex RootsNot started yet
  6. How the Discriminant Determines the Solution FormNot started yet
  7. Homogeneous Second-Order DEs: Fluency PracticeNot started yet
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Learning standards covered

gbFM-I4General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

Solve differential equations of form y''+ay'+by=0 where a and b are constants by using the auxiliary equation