Wronskian property
Not what you're looking for?
Suppose that y1, y2 are linearly independent solutions to the differential equation:
a2 (x) y'' + a1 (x) y' + a0 (x) y = 0.
a) Show that a2 (y1 y2'' - y2 y1'') + a1(y1 y2' - y1' y2) = 0
b) show that (a) implies a2 W' + a1 W = 0 {here W means the Wronskian)
c) show that the equation in (b) implies W = C e(-(a1/ a2)x)
Purchase this Solution
Solution Summary
This shows how to prove a given Wronskian property for a differential equation. The linearly independent solution to the differential equation is discussed.
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts