Consider the following system of differential equations In addition, we have the following initial conditions 10 dx 0 + 12x +39 d dx - 2x+4 dy dt dt Let x (t), y(t) be the solution of this IVP. Find x (t) = +48y = 24t² +92t+87 -7y=-6t2-3t-3 (0) = 13, (0) dy dt = -55. By(t):

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following system of differential equations
In addition, we have the following initial conditions
10 dx
0 da
+ 12x +39 dy +48y = 24t² +92t +87
dt
-7y=-6t2-3t-3
dx - 2x+4 dy
dt
dt
Let x (t), y(t) be the solution of this IVP. Find x (t) =
dy
(0) = 13, (0)
dt
= -55.
By(t):
Transcribed Image Text:Consider the following system of differential equations In addition, we have the following initial conditions 10 dx 0 da + 12x +39 dy +48y = 24t² +92t +87 dt -7y=-6t2-3t-3 dx - 2x+4 dy dt dt Let x (t), y(t) be the solution of this IVP. Find x (t) = dy (0) = 13, (0) dt = -55. By(t):
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