1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations subject to the given initial condition. (b) d²y +6x=0 di² d'y +16 -+6y=0 dt² di² Subject to x=7, 4 dt² +12 dx dt = 0 and dy dt = 0 at r=0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations subject to
the given initial condition.
(b)
d²x
dt²
+12d²
dt²
5d²x +16d²y
dt²
di²
Subject to x =
are 750 litror in the top tank
+6x=0
-+6y=0
7
4³=1₁
dx
dt
= 0 and
dy=0 at t=0
dt
Transcribed Image Text:1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations subject to the given initial condition. (b) d²x dt² +12d² dt² 5d²x +16d²y dt² di² Subject to x = are 750 litror in the top tank +6x=0 -+6y=0 7 4³=1₁ dx dt = 0 and dy=0 at t=0 dt
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