Q₁: solve the following differential equati a) xy' y = x + 2 y ² 4 the to b) (x+y) dx - xdy = o 1 0 C) (X-1)³ + 4 (X-1)² Y = X+1 dy dx d) cos y dx + (x siny - cos²y) dy = 0 e) x²³ cos y - x + 2 dx dy = 0 f) (9²-4) (x-1) = (x+)) dx dy д) у g) y' ex+y = cosh x + √cosh³x -1 +7 e* h)(3x y + 4y) dx + (3 x²y² + 2x) dy= = 0 Isin x dy SIX-Y COS X (1-9²) dx + (1+x¹) dy = 0 (2) 2x² dy csc(X) dx M) Ý xẻ vxz

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Home work of differential equation
Q₁: solve the following differential equations
a) x y³y² = x² + 2 y ²
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
0
e) x³ Cos y
-
X + 2 dx
dy
= 0
У
f) (y²-4) (x-1) = (x+1) dx
ay
е
g) y exty = cosh x + √cosh³x -1 + 7 e ²
hol3 XỶ Hy)dx + (3 x y + 2x) dy=o
I sin x dy
Six-Y COS X
dx
1) (1-9²) dx + (1+x²) dy = 0
(2) 2x²
dy
csc (X)
dx
M) Ý xe x2
رو
Transcribed Image Text:Home work of differential equation Q₁: solve the following differential equations a) x y³y² = x² + 2 y ² 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 0 e) x³ Cos y - X + 2 dx dy = 0 У f) (y²-4) (x-1) = (x+1) dx ay е g) y exty = cosh x + √cosh³x -1 + 7 e ² hol3 XỶ Hy)dx + (3 x y + 2x) dy=o I sin x dy Six-Y COS X dx 1) (1-9²) dx + (1+x²) dy = 0 (2) 2x² dy csc (X) dx M) Ý xe x2 رو
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