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५ ५5५30 So we -6y=0

५ ५5५30 So we -6y=0

Advanced Engineering Mathematics
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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Here is a transcription of the handwritten mathematical problems from the image: 1) Solve \( y'' + y' - 6y = 0 \) 2) Solve \( 4 \frac{d^2x}{dt^2} - 4 \frac{dx}{dt} + x = 0 \) These are differential equations. The first equation involves a second-order differential equation in terms of \( y \), with both first and second derivatives present. The second equation is also a second-order differential equation involving \( x \) as a function of \( t \). Both problems are typically solved using methods for linear homogeneous differential equations.
Transcribed Image Text:Here is a transcription of the handwritten mathematical problems from the image: 1) Solve \( y'' + y' - 6y = 0 \) 2) Solve \( 4 \frac{d^2x}{dt^2} - 4 \frac{dx}{dt} + x = 0 \) These are differential equations. The first equation involves a second-order differential equation in terms of \( y \), with both first and second derivatives present. The second equation is also a second-order differential equation involving \( x \) as a function of \( t \). Both problems are typically solved using methods for linear homogeneous differential equations.
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