1. Show that each of the functions defined in Column I is a solution of the corresponding differential equation in Column II on every interval a < x < b on the x axis. I II f(x)= ex + 2x² + 6x + 7 f(x) 1 d²y -3x+2y-4x² = d²y dy +2y=0

Calculus: Early Transcendentals
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Show that each of the functions defined in Column I is a solution of the corresponding differential equation in Column II on every interval a < x < b on the x axis.
1. Show that each of the functions defined in Column I is a solution of the corresponding differential
equation in Column II on every interval a < x < b on the x axis.
I
II
f(x)= ex + 2x² + 6x + 7
1
1+x²
f(x)=
d²y dy
dx² dx
-
(1+x²)
+ 2y = 4x²
dx²
dy
+4x +2y=0
dx
Transcribed Image Text:1. Show that each of the functions defined in Column I is a solution of the corresponding differential equation in Column II on every interval a < x < b on the x axis. I II f(x)= ex + 2x² + 6x + 7 1 1+x² f(x)= d²y dy dx² dx - (1+x²) + 2y = 4x² dx² dy +4x +2y=0 dx
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