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The solution of the system X'= O a. X=C1 Ob. C. O d. -3-1 17x is 1 -1 -2t ²= C₁₂( ²1 ²) 0 - ² ² + 0₂( ²₁ )00 - 2² te -2t C 1 -1, 2t -2t X=C1 ²= C₁ ( ²² ) ²2²+ + C₂( ^²+²) ²0 ²2 ² + 0₂( ² ) 2 =²² te-2t c e Oe. none of the above -1 x=c₁(¯₁²¹) 0−²² + c₂{[(^~^¹) te−2²¹ + ( ² )e-−²ª] X=C1 1 -1 -2t C X = ₁₁ ( ²²¹ ) ₁ -² ² + c ₂ ( 2 )0 - ²

The solution of the system X'= O a. X=C1 Ob. C. O d. -3-1 17x is 1 -1 -2t ²= C₁₂( ²1 ²) 0 - ² ² + 0₂( ²₁ )00 - 2² te -2t C 1 -1, 2t -2t X=C1 ²= C₁ ( ²² ) ²2²+ + C₂( ^²+²) ²0 ²2 ² + 0₂( ² ) 2 =²² te-2t c e Oe. none of the above -1 x=c₁(¯₁²¹) 0−²² + c₂{[(^~^¹) te−2²¹ + ( ² )e-−²ª] X=C1 1 -1 -2t C X = ₁₁ ( ²²¹ ) ₁ -² ² + c ₂ ( 2 )0 - ²

Advanced Engineering Mathematics
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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The solution of the system X'= O a. Ob. C. 1 -2t Xx=₁₂ (²1²¹)]0-²² + 0₂( ²₁) ²0²-²² X=C1 te-2t te O d. -3 -1 1 -1 x = c₂₁( -2t C₂ 1-C₂ ( ²2² ) = -²² + c =( ^1^²) 060-²2² + ₂(1 c3( ) e X=C1 x is -2t C le ²xX = ₁₂₁( ²7² ) 0 -² ² + 0₂( 2² ) 0² + X=C1 Oe. none of the above 2t 2t ¯₁²¹) 0−²² + c₂{[(^~^²) te-²² + ( ² )0−²ª] 2t -2t
Transcribed Image Text:The solution of the system X'= O a. Ob. C. 1 -2t Xx=₁₂ (²1²¹)]0-²² + 0₂( ²₁) ²0²-²² X=C1 te-2t te O d. -3 -1 1 -1 x = c₂₁( -2t C₂ 1-C₂ ( ²2² ) = -²² + c =( ^1^²) 060-²2² + ₂(1 c3( ) e X=C1 x is -2t C le ²xX = ₁₂₁( ²7² ) 0 -² ² + 0₂( 2² ) 0² + X=C1 Oe. none of the above 2t 2t ¯₁²¹) 0−²² + c₂{[(^~^²) te-²² + ( ² )0−²ª] 2t -2t
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