Solve the following differential equations dy 1) 2dy dx² +4x +2y = 0, dx

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) +²d²¾y
dx²
2)
3)
Homework Questions
5)
2d²y
dx²
d²y
dx²
dy
+4x + 2y = 0,
dx
dy
dx
-
5x
+12
dx
dx
dx
+9y=0, _y(1)= 2,y′(1) = 1
+35y = sin(2x),
+6y = 3x² − 2x+1,
+9y=4exp(-3x), y(0)=3,y'(0) = 2
Transcribed Image Text:Solve the following differential equations 1) +²d²¾y dx² 2) 3) Homework Questions 5) 2d²y dx² d²y dx² dy +4x + 2y = 0, dx dy dx - 5x +12 dx dx dx +9y=0, _y(1)= 2,y′(1) = 1 +35y = sin(2x), +6y = 3x² − 2x+1, +9y=4exp(-3x), y(0)=3,y'(0) = 2
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