If the functions y1 and y2 are linearly independent solutions of y'' +p(x)y' +q(x)y = 0, determine under what conditions (e.g. for which values of
a1; b1; a2; b2) the functions y3 = a1y1 + a2y2 and y4 = b1y1 + b2y2 also form
a linearly independent set of solutions

Question

If the functions y1 and y2 are linearly independent solutions of y'' +p(x)y' +q(x)y = 0, determine under what conditions (e.g. for which values of
a1; b1; a2; b2) the functions y3 = a1y1 + a2y2 and y4 = b1y1 + b2y2 also form
a linearly independent set of solutions

inkyvoyd · Answer

GTFO person with better math then me.