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Mathematics, 07.05.2021 14:00 mikemike59

Verify by substitution that each given function is a solution of a given differential equation.    (6mks)(6mks)          (i). y′+2y=0;      y=3e−2xy′+2y=0;       y=3e−2x

         (ii). y′′+4y=0;    y1=cos(2x),   y 2=sin(2x)y′′+4y=0;    y1=cos⁡(2x),    y2=sin⁡(2x)

          (iii). y′′−2y′+2y =0;  y1=excosx,      y2=exsinxy′′−2y′+2y =0;  y1=exco s⁡x,     y2=exsin⁡x​

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Verify by substitution that each given function is a solution of a given differential equation.    (...
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