How do you solve a differential equation like this? again, a little different?
Answer:
generally OR for diff eqns does not exist!
♦ Thus y’’=k*y, then y’*y’’ =k*yy’;
then 0.5*(y’^2)’ = 0.5k*(y^2)’,
hence y’ = √(k*y^2 +C1), go on!
♥ thus y’’=kx, then y’=0.5kx^2 +C1, go on!
look up variation of parameters method.
Im a big fan of matlab.
e1='D2y+a*y/b=0'
e2='D2y+a*x/b=0'
y=dsolve(e1,e2,'x')
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