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Hyberbolic 4D4 – 24D3 + 35D² + 6D – 9)y = 0 ANS. y = e3* (c + c2x) + c3 cos h-x + C4 sin h-x Hyberbolic (D5 – 2D3 – 2D² – 3D – 2)Y = 0 ANS.y = e-*(c, + c2x) + cze2x + C4 cos x + c5 sin x Non-homogenous (D² + 1)y = cos x ANS.y = c, cos x + c2 sin x +x sin x| Non-homogenous (Ctri) - (D² + 1)y = 10e2x; when x = 0,y = 0, y' = 0 ANS.y = 2(e2x* – cos x – 2 sin x) -

Hyberbolic 4D4 – 24D3 + 35D² + 6D – 9)y = 0 ANS. y = e3* (c + c2x) + c3 cos h-x + C4 sin h-x Hyberbolic (D5 – 2D3 – 2D² – 3D – 2)Y = 0 ANS.y = e-*(c, + c2x) + cze2x + C4 cos x + c5 sin x Non-homogenous (D² + 1)y = cos x ANS.y = c, cos x + c2 sin x +x sin x| Non-homogenous (Ctri) - (D² + 1)y = 10e2x; when x = 0,y = 0, y' = 0 ANS.y = 2(e2x* – cos x – 2 sin x) -

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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Hyberbolic 1 4D4 – 24D3 + 35D² + 6D – 9)y = 0 ANS. y = e3* (c + c2x) + c3 cos h-x + c4 sinh-x 2 2 Hyberbolic (D5 – 2D3 – 2D² – 3D – 2)Y = 0 ANS.y = e-*(c1 + c2x) + Cze²2x + C4 cos x + c5 sin x Non-homogenous 1 (D² + 1)y = cos x ANS. y = c1 cos x + c2 sin x + x sin x 2 Non-homogenous D(Ctrl) (D² + 1)y : 10e2x; when x = 0, y = 0, y' = 0 ANS.y = 2(e2x – cos x – 2 sin x) ||
Transcribed Image Text:Hyberbolic 1 4D4 – 24D3 + 35D² + 6D – 9)y = 0 ANS. y = e3* (c + c2x) + c3 cos h-x + c4 sinh-x 2 2 Hyberbolic (D5 – 2D3 – 2D² – 3D – 2)Y = 0 ANS.y = e-*(c1 + c2x) + Cze²2x + C4 cos x + c5 sin x Non-homogenous 1 (D² + 1)y = cos x ANS. y = c1 cos x + c2 sin x + x sin x 2 Non-homogenous D(Ctrl) (D² + 1)y : 10e2x; when x = 0, y = 0, y' = 0 ANS.y = 2(e2x – cos x – 2 sin x) ||
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