Physics, asked by rathan, 1 year ago

solve in the series eqation d2y/dx2+x2y=0

Answers

Answered by kvnmurty
1
  d2 y / d x2  =   - x2 y
Bring y to LHS and x to RHS:        d2 y  /  y      =   - x2  d x2 
Integrate on both sides: wrt y on LHS and x on RHS. 
dx2 is dx * dx and d2y is dy * dy. 

      ln y  dy  =  - 1/3  x3   dx

Integrate again:     y ln y – y  = - 1/12  x4



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