Solve the following Differential Equations. 1 (x √x² + y² + y ) dx + (y √ x² + y² + x) dy

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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* Solve the following Differential Equations.
1 (x √x²+ y² + y) dx + (y/x²+ y² + x) dy
2
3
4
57
8-
y + y tanx - Sec X=0
y" + 4y = x sinx
2
x² √² + 6x² 1² + 15x² 3 +9x dy gy = 3hx+ / I
d'y
dx²
dx²
x²
10-
(3x + 2)² d²³
dx²
y" - 3y" + 3y -y =o
F
@dy - 16y=0
dx
2225
x dy
dy
d's
dx²
=
+
+
3 (3x+2) dx - 36y = 3x² +
=
+ 150 dy +36y=0
Y+ √√x + y ²
Cos (x+y)
3x² + 4x+1
Transcribed Image Text:* Solve the following Differential Equations. 1 (x √x²+ y² + y) dx + (y/x²+ y² + x) dy 2 3 4 57 8- y + y tanx - Sec X=0 y" + 4y = x sinx 2 x² √² + 6x² 1² + 15x² 3 +9x dy gy = 3hx+ / I d'y dx² dx² x² 10- (3x + 2)² d²³ dx² y" - 3y" + 3y -y =o F @dy - 16y=0 dx 2225 x dy dy d's dx² = + + 3 (3x+2) dx - 36y = 3x² + = + 150 dy +36y=0 Y+ √√x + y ² Cos (x+y) 3x² + 4x+1
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