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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

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

Advanced Engineering Mathematics
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 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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