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) In this problem you will solve the nonhomogeneous system Y = A. Write a fundamental matrix for the associated homogeneous system -18 Y-¹ = cos(2t)-sin(2t) B. Compute the inverse -2cos(2t) [y¹zdi -sin(2t) C. Multiply by g and integrate -1 (Do not include c₁ and c₂ in your answers). -1 g dt = cos(2t) -2cos(2t)+sin(2t) >=[23]+[3] y -4 -2 -2sin(2t)+cos(2t) cos(2t)+sin(2t) -2sin(2t) (-cos(2t)+sin(2t))/2 (cos(2t)-sin(2t))/2 +C1 +6₂

) In this problem you will solve the nonhomogeneous system Y = A. Write a fundamental matrix for the associated homogeneous system -18 Y-¹ = cos(2t)-sin(2t) B. Compute the inverse -2cos(2t) [y¹zdi -sin(2t) C. Multiply by g and integrate -1 (Do not include c₁ and c₂ in your answers). -1 g dt = cos(2t) -2cos(2t)+sin(2t) >=[23]+[3] y -4 -2 -2sin(2t)+cos(2t) cos(2t)+sin(2t) -2sin(2t) (-cos(2t)+sin(2t))/2 (cos(2t)-sin(2t))/2 +C1 +6₂

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 44E
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) In this problem you will solve the nonhomogeneous system Y = A. Write a fundamental matrix for the associated homogeneous system y-¹ = B. Compute the inverse cos(2t)-sin(2t) Y-1 -2cos(2t) 8 dt C. Multiply by g and integrate -sin(2t) = cos(2t) -2cos (2t)+sin(2t) -2sin(2t)+cos(2t) > =[2_3] ³+ [²] y -2 (Do not include c₁ and c₂ in your answers). cos(2t)+sin(2t) -2sin(2t) (-cos(2t)+sin(2t))/2 (cos(2t)-sin(2t))/2 +C1 +62 31
Transcribed Image Text:) In this problem you will solve the nonhomogeneous system Y = A. Write a fundamental matrix for the associated homogeneous system y-¹ = B. Compute the inverse cos(2t)-sin(2t) Y-1 -2cos(2t) 8 dt C. Multiply by g and integrate -sin(2t) = cos(2t) -2cos (2t)+sin(2t) -2sin(2t)+cos(2t) > =[2_3] ³+ [²] y -2 (Do not include c₁ and c₂ in your answers). cos(2t)+sin(2t) -2sin(2t) (-cos(2t)+sin(2t))/2 (cos(2t)-sin(2t))/2 +C1 +62 31
D. Give the solution to the system || cos(2t)-sin(2t) -2cos(2t) -2cos(2t)+sin(2t) 1. -2sin(2t)+cos(2t) (Do not include c₁ and c₂ in your answers). C₁+ cos(2t)+sin(2t) -2sin(2t) C2
Transcribed Image Text:D. Give the solution to the system || cos(2t)-sin(2t) -2cos(2t) -2cos(2t)+sin(2t) 1. -2sin(2t)+cos(2t) (Do not include c₁ and c₂ in your answers). C₁+ cos(2t)+sin(2t) -2sin(2t) C2
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