Qs: Solve the fallow ing differential equations 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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Qs: Solve the follow ing differential equations
a) x g'y'= x"4 2y
b) (X+J) dx - Xdy=c
c) (X-1J' dy + 4 (X-1)* y= X+I
t,
d) Cos y dx +(x Siny - costy) dy =
e) x³ Cos y
+ 2 dx
I) y' , cosh x + Scoshix -I +7¢*
h) (3X 3'4y)dx +(3 x²y*« 2x) dly =
I) sin x dy
dx
Sin 2X - y Cos X
k) (1-g') dx + ( 1+X*) dg = 0
dy
csck)
H) y's Xe? Jx-z
N) dy
X (l+Y)
dx
0) (x -1) (X-2) d + y- X
P) xy't y= 3X' yz
Q) X dy +ydx = x³yo dx
X + X° cos y =0
%3D
R)z - * + x'as y -o
s) [2x3 + Cosx )dx +X'dy=o
zy2
2
-
Transcribed Image Text:Qs: Solve the follow ing differential equations a) x g'y'= x"4 2y b) (X+J) dx - Xdy=c c) (X-1J' dy + 4 (X-1)* y= X+I t, d) Cos y dx +(x Siny - costy) dy = e) x³ Cos y + 2 dx I) y' , cosh x + Scoshix -I +7¢* h) (3X 3'4y)dx +(3 x²y*« 2x) dly = I) sin x dy dx Sin 2X - y Cos X k) (1-g') dx + ( 1+X*) dg = 0 dy csck) H) y's Xe? Jx-z N) dy X (l+Y) dx 0) (x -1) (X-2) d + y- X P) xy't y= 3X' yz Q) X dy +ydx = x³yo dx X + X° cos y =0 %3D R)z - * + x'as y -o s) [2x3 + Cosx )dx +X'dy=o zy2 2 -
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