Public learning track
Homogeneous Second-Order Differential Equations
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
- Introduction to Second-Order Linear Differential EquationsUp next
- The Auxiliary EquationNot started yet
- Solving the Homogeneous Case: Real Distinct RootsNot started yet
- Solving the Homogeneous Case: Repeated RootNot started yet
- Solving the Homogeneous Case: Complex RootsNot started yet
- How the Discriminant Determines the Solution FormNot started yet
- Homogeneous Second-Order DEs: Fluency PracticeNot started yet
Standards Covered
- FM-I4General Certificate of Education Advanced Level (UK A-Level) · Further-maths · Grade 11Solve differential equations of form y''+ay'+by=0 where a and b are constants by using the auxiliary equation
- FM-I6General Certificate of Education Advanced Level (UK A-Level) · Further-maths · Grade 11Understand and use the relationship between the cases when the discriminant of the auxiliary equation is positive, zero and negative and the form of solution of the differential equation
Curriculum Framework
11th Grade · Math · UK A-Level
72
7 lessons
Graph Transformations and Graphical Analysis
74
4 lessons
Hyperbolic Substitutions in Integration
75
8 lessons
Hypothesis Tests for Means and Proportions