a) Find the general solution of the following system:x3+ 2x4−x5= 4,x4−x5= 3,x3+ 3x4−2x5= 7,2x1+ 4x2+x3+ 7x4= 7.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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a) Find the general solution of the following system:x3+ 2x4−x5= 4,x4−x5= 3,x3+ 3x4−2x5= 7,2x1+ 4x2+x3+ 7x4= 7.

b) Choosehandksuch that the system hasi) no solution,ii) a unique solution, andiii) many solutions.

x1−x2=h 

3x1+kx2= 5

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