Determine whether or not the following expressions are valid, i.e., whether the left- and right-hand sides represent the same function. Erērlr+ Fr&r+ Er'r+ £r7r = ?r!r+ čr!x+ £r&r!r+ £rlx (2) (b) x,F3 + x2X3 +ãzÃ3 = (x1 +I2 +x3)(x1 +x2 + I3)(¤1+x2 +ã3) (c) (x1 +x3)(x1 +ã2 +ã3)(F1 + x2) = (x1 +x2)(x2 + x3)(F1 +F3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 1:
Determine whether or not the following expressions are valid, i.e., whether the left- and
right-hand sides represent the same function.
(a) I,X3 + X1X2F3 +x,x2 + X1I2 = I2X3 +xjF3 + x2ã3 +ī,X2X3
(b) x,F3 + x2x3 + I2Ã3 = (x1 +x2 + x3)(x1 +x2 + X3)(F1 +x2 + X3)
(c) (x1 + x3)(F1 +ã2 +x3)(F1 +x2) = (x1 +x2)(x2 + x3)(X1 +x3)
Transcribed Image Text:Question 1: Determine whether or not the following expressions are valid, i.e., whether the left- and right-hand sides represent the same function. (a) I,X3 + X1X2F3 +x,x2 + X1I2 = I2X3 +xjF3 + x2ã3 +ī,X2X3 (b) x,F3 + x2x3 + I2Ã3 = (x1 +x2 + x3)(x1 +x2 + X3)(F1 +x2 + X3) (c) (x1 + x3)(F1 +ã2 +x3)(F1 +x2) = (x1 +x2)(x2 + x3)(X1 +x3)
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