1. Find a general solution to the following differential equations: (a) (b) (c) dy/ (x) +...

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1. Find a general solution to the following differential equations: (a) (b) (c) d²y/ (x) + Answer: W(x) = 5 exp(-x). dy dx (x) — 6y(x) = 0. d²w dy² Answer: W(y) = (π − 3) exp((3+π) y). (² (y) − (3+π) dw dy ·(y) +3πw(y) = 0. d²x dx 2- dt² dt (t) - 6x(t) = 0. (t) + Answer: W(t) = -(7/2) exp(-t/2). 1. Find a general solution to the following differential equations: (a) (b) (c) d²y/ (x) + Answer: W(x) = 5 exp(-x). dy dx (x) — 6y(x) = 0. d²w dy² Answer: W(y) = (π − 3) exp((3+π) y). (² (y) − (3+π) dw dy ·(y) +3πw(y) = 0. d²x dx 2- dt² dt (t) - 6x(t) = 0. (t) + Answer: W(t) = -(7/2) exp(-t/2).