Solve the following second order equations: (a) (b) (c) d²y 2 x² + ( )² – ( ² ) ² = 0; y(1) = 2; y'(1) = −1 dx2 dx d²y dy करवर y dx 2 +x x = ln(x); y(1) = 1; y'(1) = d² + (²x) dx2 dx - = dy ; y(0) = 1; y'(0) = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Plz answer part c only
Solve the following second order equations:
(a)
(b)
(c)
x
d²y
+
dx²
dy
( 22 ) ² − ( ² ) ² =
dx
2d²y
dx²
= 0; y(1) = 2; y'(1) = -1
+xdyy
+ x dx
=
In(x); y(1) = 1; y'(1) = 0
y²y + x)² - ; y(0) = 1; y'(0) – 2
у
=
dy
dx
=
dx²
dx
Transcribed Image Text:Solve the following second order equations: (a) (b) (c) x d²y + dx² dy ( 22 ) ² − ( ² ) ² = dx 2d²y dx² = 0; y(1) = 2; y'(1) = -1 +xdyy + x dx = In(x); y(1) = 1; y'(1) = 0 y²y + x)² - ; y(0) = 1; y'(0) – 2 у = dy dx = dx² dx
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