This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: y 006 y + 9 y = 0. When a constant coeﬃcient diﬀerential equation leads to a repeated root, then multiply the exponential solution by t to get a second solution. EXAMPLE. Find the solution of 16 y 00 + 24 y + 9 y = 0 that satisﬁes the initial conditions y (0) = 1, y (0) = 3 / 4. EXAMPLE. Find a fundamental set of solutions of ( x1) y 00xy + y = 0 on the interval x > 1, given that y 1 ( x ) = e x is a solution. HOMEWORK: SECTION 3.4...
View
Full Document
 Spring '08
 Fonken
 Differential Equations, Equations, Derivative, Complex number

Click to edit the document details