solving second order linear ODEaxy′(x)+12y″(x)=0where a is a constant. Also how can I solve this...
solving second order linear ODE
where a is a constant. Also how can I solve this equation if the right hand side is different than zero?
Answer & Explanation
Consider . Then this is just . That is which is separable.
and so .
Assuming a solution in an interval not containing , lets rewrite the equation as:
Now put to get
Separating variables produces