Solve the following a. y' - 5y = e5x; b. y’ + y = xe-* ; c. y' + 4y = 2 cost; y(0) = 4 differential equations. y(0) = 2 y(0) = 2

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Q: d. L-1 f. L-1 h. L-1 1 - 3s 3s²-5 S-7 - 10s + 29 s²+2s 4 s4 +25³ +5²

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Q: USE THE REGULA-FALSI METHOD TO APPROXIMATE THE SOLUTION TO f(x)=x-cx (x) [1,2] CALCULATE UP TO 5…

A: ; We have find the value of x using Regula-falsi method.

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Q: (s) = 20 (s+3)(s² +8s+25) f(t)=2e-3t2e-4t cos3t- -

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Q: Show that if G is an abelian group that for all a, b E G and all integers n (ab)¹ = a¹b¹.

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