Solve the system of differential equations x' = 3x + Oy y' = 12x + ly - 2 (0) %3 3, у(0) 3D 10

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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Solve the system of differential equations
3x + Oy
-
y'
— 12х + 1у
x(0) = 3, y(0) = 10
x(t):
-3t
e
+3
%D
y(t) =| -5et + 3e-3t + 12
Transcribed Image Text:Solve the system of differential equations 3x + Oy - y' — 12х + 1у x(0) = 3, y(0) = 10 x(t): -3t e +3 %D y(t) =| -5et + 3e-3t + 12
Solve the system of differential equations
x'
7х + 4y
-
%3D
-
x(0) = 1, y(0) = -1
x(t) =
%3D
y(t) =
Transcribed Image Text:Solve the system of differential equations x' 7х + 4y - %3D - x(0) = 1, y(0) = -1 x(t) = %3D y(t) =
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