(一 - dx t - 3 X*cos(3)-4-2 ) -)dy=0 = 0

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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Homework of differential equation
Q₁: solve the following differential equations.
a) x y² y ² = x ² + 2 y ²
4
b) (x+y) dx - xdy =o
c) (x-1)³ dy + 4 (X-1)² y = X+1
dx
d) cos y dx + (x Siny - cos²y) dy = o
e) x³ Cosy - + 2 dx
dy
f) (y²-4) (x-1) = (x+))
g) y
= cosh x + √cosh³x -1 +
+7e*
W (3 x 9 +49) dx + (3 x²y² + 2x) dy = o
Sin 2X - Y COS X
I) Sinx dy
dx
P
k) (1-y²) dx + (1+x²) dy = 0
2x²
2)
dy
csc (X)
dx
M) Ý, xe x-2
N) dy
=
X (1+y)
y (1-x)
0) (x-1) (X-2) dy + y = x²
dx
P) xy + y 3x³y²
XY =
Q) x dy + ydx= x³y6 dx
R) z dx - X + X² cos Y = 0
s) (2xy + Cosx) dx + x'dy=0.
Oly-2) dx + ( 27₁ )dy=0
(一)。
= 0
4) X² Cos (3) -- 24
+
solve T & U
Transcribed Image Text:Homework of differential equation Q₁: solve the following differential equations. a) x y² y ² = x ² + 2 y ² 4 b) (x+y) dx - xdy =o c) (x-1)³ dy + 4 (X-1)² y = X+1 dx d) cos y dx + (x Siny - cos²y) dy = o e) x³ Cosy - + 2 dx dy f) (y²-4) (x-1) = (x+)) g) y = cosh x + √cosh³x -1 + +7e* W (3 x 9 +49) dx + (3 x²y² + 2x) dy = o Sin 2X - Y COS X I) Sinx dy dx P k) (1-y²) dx + (1+x²) dy = 0 2x² 2) dy csc (X) dx M) Ý, xe x-2 N) dy = X (1+y) y (1-x) 0) (x-1) (X-2) dy + y = x² dx P) xy + y 3x³y² XY = Q) x dy + ydx= x³y6 dx R) z dx - X + X² cos Y = 0 s) (2xy + Cosx) dx + x'dy=0. Oly-2) dx + ( 27₁ )dy=0 (一)。 = 0 4) X² Cos (3) -- 24 + solve T & U
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