49y = t ²e-7t as the independent varie and c₂ as C₂ as arbitrary con

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Differential Equations
Find the general solution of the differential equation
y" + 14y' +49y = t ²e-7t.
NOTE: Use t as the independent variable.
Use C1 and ca as arbitrary constants.
-7t
-7t
y(t) =
(C₁ + c₂) e
- Inte
X
Transcribed Image Text:Find the general solution of the differential equation y" + 14y' +49y = t ²e-7t. NOTE: Use t as the independent variable. Use C1 and ca as arbitrary constants. -7t -7t y(t) = (C₁ + c₂) e - Inte X
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