To get a feel for higher order ODEs, show that the given functions are solutions and form a basis on any interval. Use Wronskians. In Prob. 6, x > 0,
cos x, sin x, x cos x, x sin x, y^iv+ 2y" + y = 0

Question

To get a feel for higher order ODEs, show that the given functions are solutions and form a basis on any interval. Use Wronskians. In Prob. 6, x > 0,

cos x, sin x, x cos x, x sin x, y^iv+ 2y" + y = 0

Accepted Answer

The Wronskian of sin x and cos x is 1  By the essential supremum criterion  we have  2x si   ...

To get a feel for higher order ODEs, show that the given