This is of practical interest since a single solution of an ODE can often be guessed. (a) How could you reduce the order of a linear constant-coefficient ODE if a solution is known? (b) Reduce x 3 y' - 3x 2 y + (6 - x 2 )xy' - (6 - x 2 )y = 0, using y 1 =
Chapter 3, P R O B L E M S E T 3 . 2 #14
This is of practical interest since a single solution of an ODE can often be guessed.
(a) How could you reduce the order of a linear constant-coefficient ODE if a solution is known?
(b) Reduce x3y"' - 3x2y" + (6 - x2)xy' - (6 - x2)y = 0, using y1 = x (perhaps obtainable by inspection).
This problem has been solved!
Do you need an answer to a question different from the above? Ask your question!
Answer
(a) Divide the characteristic equation by - 1 if e 1x is known. (b) We f…View the full answer
Related Book For 
