In this problem you will solve the nonhomogeneous system ✓ = [_3__3] + [3] y' -9 -3 A. Write a fundamental matrix for the associated homogeneous system Y = B. Compute the inverse Y-¹ = C. Multiply by g and integrate +91 y-1 g dt = (Do not include c₁1 and c₂ in your answers). D. Give the solution to the system = + (Do not include c₁ and c₂ in your answers). C₁+ +C₂ C2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 7CM: Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]
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In this problem you will solve the nonhomogeneous system
3
y' -B 3+3
=
-9 -3
A. Write a fundamental matrix for the associated homogeneous system
Y =
B. Compute the inverse
Y-1
=
C. Multiply by g and integrate
+C1
/
y-1 g dt =
(Do not include c₁ and c₂ in your answers).
D. Give the solution to the system
}
(Do not include c₁ and c₂ in your answers).
=
C₁+
+62
C2
Transcribed Image Text:In this problem you will solve the nonhomogeneous system 3 y' -B 3+3 = -9 -3 A. Write a fundamental matrix for the associated homogeneous system Y = B. Compute the inverse Y-1 = C. Multiply by g and integrate +C1 / y-1 g dt = (Do not include c₁ and c₂ in your answers). D. Give the solution to the system } (Do not include c₁ and c₂ in your answers). = C₁+ +62 C2
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