d'y +3 d'y dy - 12y = 0. dx (a) Solve the differential equation dx dx? (b) Find the second solution of the differential equation (1– 2x –x'y"+2(1+x)y'–2y = 0, ify, =x+1 is the first solution.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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differential equations Question

d'y
Solve the differential equation
dx
d’y
dy
-4-
dx?
dx
(a)
+3
- 12y = 0.
(b)
Find the second solution of the differential
equation (1– 2x-x² )y"+2(1 +x)y'–2y = 0, if y, =x+1 is the first solution.
Transcribed Image Text:d'y Solve the differential equation dx d’y dy -4- dx? dx (a) +3 - 12y = 0. (b) Find the second solution of the differential equation (1– 2x-x² )y"+2(1 +x)y'–2y = 0, if y, =x+1 is the first solution.
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