Find the general solution of the differential equation y" + 5y14y=-62t + 28t². NOTE: Use t as the independent variable. Use c, and ca as arbitrary constants.
Find the general solution of the differential equation y" + 5y14y=-62t + 28t². NOTE: Use t as the independent variable. Use c, and ca as arbitrary constants.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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can you provide a short solution here? need help please. Thanks!
Transcribed Image Text:Find the general solution of the differential equation
y" + 5y - 14y=-62t + 28t².
NOTE: Use t as the independent variable.
Use c, and c₂ as arbitrary constants.
y(t) =
C1
e2t
-7t2t² +3t+
+ c₂ e
11
14
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