Ꮖ = y1(x) 42(x) Ꮖ 4. If yı and y2 are solutions of y" + a(x) y' + b(x) y = 0. Define W(2) W X y1(x) y2(x). (a) (5 points
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Ꮖ = y1(x) 42(x) Ꮖ 4. If yı and y2 are solutions of y" + a(x) y' + b(x) y = 0. Define W(2) W X y1(x) y2(x). (a) (5 points
Ꮖ = y1(x) 42(x) Ꮖ 4. If yı and y2 are solutions of y" + a(x) y' + b(x) y = 0. Define W(2) W X y1(x) y2(x). (a) (5 points) Show that W'(x) = -a(2) W(x). x (b) (5 points) Show that if W(0) # 0, then W(x) + 0 for all x E R.
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