Determine whether the given statement is true or false. The auxiliary equation m2 + 4m +7=0°f the DE yll + 4y +7y=D0 has two distinct real solutions. O True O False

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer both questions please!

Determine whether the given statement is true or false.
The auxiliary equation m2 + 4m+7=0 of the DE
y! +4y +7y=0
has two distinct real solutions.
O True
O False
Transcribed Image Text:Determine whether the given statement is true or false. The auxiliary equation m2 + 4m+7=0 of the DE y! +4y +7y=0 has two distinct real solutions. O True O False
Determine whether the given statement is true or false.
If the set of two functions f, and f, is linearly independent on an interval 1, then the Wronskian W (f1, fa) ±0 for all x in /.
O True
O False
Transcribed Image Text:Determine whether the given statement is true or false. If the set of two functions f, and f, is linearly independent on an interval 1, then the Wronskian W (f1, fa) ±0 for all x in /. O True O False
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