×
×

# Verify that the differential operator defined byL[y] = y(n) + p1(t)y(n1) ++ pn(t)yis a

ISBN: 9780470458327 393

## Solution for problem 18 Chapter 4.1

Elementary Differential Equations | 10th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Elementary Differential Equations | 10th Edition

4 5 1 282 Reviews
23
3
Problem 18

Verify that the differential operator defined byL[y] = y(n) + p1(t)y(n1) ++ pn(t)yis a linear differential operator. That is, show thatL[c1y1 + c2y2] = c1L[y1] + c2L[y2],where y1 and y2 are n-times-differentiable functions and c1 and c2 are arbitrary constants.Hence, show that if y1, y2, ... , yn are solutions of L[y] = 0, then the linear combinationc1y1 ++ cnyn is also a solution of L[y] = 0.

Step-by-Step Solution:
Step 1 of 3

L35 - 10 Substitution Rule for Deļ¬nite Integrals If g (x)iuusn[ a,b]nd f is continuous on the...

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution