(4) dy_dy-2y=0 dx² dx =-1) HINT: substitute y = Aex to find roots of characteristic equation (r=2 and r2=-) ANSWER: y = Ae2x+Be-x

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Differential Equations

Please, show all the work and every step

(4)
d'y dy
dx² dx
-2y=0
=-1)
HINT: substitute y = Aerx to find roots of characteristic equation (r=2 and r2=-
ANSWER: y = Ae2x+Be-x
Transcribed Image Text:(4) d'y dy dx² dx -2y=0 =-1) HINT: substitute y = Aerx to find roots of characteristic equation (r=2 and r2=- ANSWER: y = Ae2x+Be-x
Expert Solution
Step 1

Introduction:

The given differential equation is linear homogeneous differential equation.

Given:

y''-y'-2y=0  

To find: Solution of differential equations.

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