×
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 4.7 - Problem 27e
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 4.7 - Problem 27e

×

# (21) (a) verify that y1(t) : =t and y2(t) :=t3are two ISBN: 9780321747730 43

## Solution for problem 27E Chapter 4.7

Fundamentals of Differential Equations | 8th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Fundamentals of Differential Equations | 8th Edition

4 5 1 275 Reviews
19
1
Problem 27E

Consider the linear equation (21) (a) verify that y1(t) : =t and y2(t) :=t3are two solutions to (21) on Furthermore, show that for t0=1.(b) Prove that y1(t) and y2(t) are linearly independent on (c) Verify that the function y3(t) : = |t|3 is also a solution to (21) on (d) Prove that there is no choice of constants c1, c2 such that assumption leads to a contradiction.](e) From parts (c) and (d), we see that there is at least one solution to (21) on that is not expressible as a linear combination of the solutions y1(t),y2(t) . Does this provide a counterexample to the theory in this section? Explain

Step-by-Step Solution:

Solution:Step 1: In this problem, we have to consider the linear equation

Step 2 of 2

##### ISBN: 9780321747730

Unlock Textbook Solution