form a D.E of y=a•sinbx

Form a D.E of y=a•sinbx
in Algebra 2 Answers by Level 12 User (101k points)

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5 Answers

This may be considered as one of the solutions of the wave equation y"+b^2•y=0(the other is cosbx).
by Level 12 User (101k points)
Now because one constant of integration appears
by Level 12 User (101k points)
Then one 1st order equation can be found: y=a•sinbx (1)
by Level 12 User (101k points)
→y'=ab•cosbx (2)
by Level 12 User (101k points)
(2) over (1) gives the required y'-[B•COTAN(bx)]•y=0
by Level 12 User (101k points)

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