Solve the following differential equations 1) 2) 3) dy +4x +2y = 0, dx² dx dy 2d²y dr² dx -5x +9y=0, y(1)=2,y'(1) = 1 x² d²y dr² dy +12+35y = sin(2x), dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 29CR
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Solve the following differential equations
2d²y
dx²
1)
2)
3)
4)
5)
dy
+4x +2y = 0,
dx
dy
RR²₂
-
-5x +9y=0, y(1)=2,y(1) = 1
dx² dx
d²y dy
dx²
d²y
dx²
d²y
+12+35y = sin(2x),
dx
dy
5 +6y=3x²-2x+1,
dx
dy
+6+9y=4exp(-3x), y(0)=3,y' (0) = 2
dx
Transcribed Image Text:Solve the following differential equations 2d²y dx² 1) 2) 3) 4) 5) dy +4x +2y = 0, dx dy RR²₂ - -5x +9y=0, y(1)=2,y(1) = 1 dx² dx d²y dy dx² d²y dx² d²y +12+35y = sin(2x), dx dy 5 +6y=3x²-2x+1, dx dy +6+9y=4exp(-3x), y(0)=3,y' (0) = 2 dx
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,