please solve: d^2/dx^2+4y=0

d^2/dx^2+4y=0
in Algebra 2 Answers by Level 12 User (101k points)

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5 Answers

By laplace transform: Y(x)→ Y upper line(s),
by Level 12 User (101k points)
Y upper line (s)=Y(0) s/s^2+4+y'(0)/s^2+4
by Level 12 User (101k points)
Using CAUCHY'S theorem we get
by Level 12 User (101k points)
Y(x)= y(0)cos(2x)+y'(0)/2 sin(2x)
by Level 12 User (101k points)
=C,•cos(2x)+C2• sin(2c)
by Level 12 User (101k points)

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