Solution Found!
Show that if y1 is a solution of y___ + p1(t) y__ + p2(t) y_ + p3(t) y = 0, then the
Chapter 4, Problem 19(choose chapter or problem)
QUESTION:
Show that if y1 is a solution of y___ + p1(t) y__ + p2(t) y_ + p3(t) y = 0, then the substitution y = y1(t)v(t) leads to the following secondorder equation for v_: y1v___ + (3y_ 1 + p1 y1)v__ + (3y__ 1 + 2p1 y_ 1 + p2 y1)v_ = 0.
Questions & Answers
QUESTION:
Show that if y1 is a solution of y___ + p1(t) y__ + p2(t) y_ + p3(t) y = 0, then the substitution y = y1(t)v(t) leads to the following secondorder equation for v_: y1v___ + (3y_ 1 + p1 y1)v__ + (3y__ 1 + 2p1 y_ 1 + p2 y1)v_ = 0.
ANSWER:Step 1 of 3
Lets make below substitution and check whether it leads to second order equation for v’.