g) y² ex+y = cosh x + √rosh²x -1 +7 et h) (3 x y² + 4y) dx + (3 x²y² + 2x) dy = 0 I) sin x dy Sin 2x - y cos x dx کو روز

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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Question
Homework of differential equation
Q₁: solve the following differential equations
a) x y³ y'= x
4
= x² + 2y ²
гуч
b) (x+y) dx - xdy=0
C) (X-1)³ dy + 4 (X-1)² y = x+1
dx
d) cos y dx + (x siny - cos²y) dy = c
0
e) x ³ Cosy - £ + 2 dx
X
= 0
y
f) (y²-4) (x-1) = (x+1) dx
Stigl
ay
е
19) y² ex+y = cosh x + √cosh³x -1 +7 ex
h (3 XỬ HY)dx + (3 xy2x) dyeo
I) Sinx dy = Sin 2X-y cos x
X
dx
k) (1-9²) dx + (1+x²) d y = 0
2) 2x²
dy
dx
csc(X)
M) ý xe x2
کو روز
Transcribed Image Text:Homework of differential equation Q₁: solve the following differential equations a) x y³ y'= x 4 = x² + 2y ² гуч b) (x+y) dx - xdy=0 C) (X-1)³ dy + 4 (X-1)² y = x+1 dx d) cos y dx + (x siny - cos²y) dy = c 0 e) x ³ Cosy - £ + 2 dx X = 0 y f) (y²-4) (x-1) = (x+1) dx Stigl ay е 19) y² ex+y = cosh x + √cosh³x -1 +7 ex h (3 XỬ HY)dx + (3 xy2x) dyeo I) Sinx dy = Sin 2X-y cos x X dx k) (1-9²) dx + (1+x²) d y = 0 2) 2x² dy dx csc(X) M) ý xe x2 کو روز
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