The following second-order ODE ay"+by+cy = 4x + (sin.x) e* has a complementary solution given by ye = cx + c₂. If we want to find a particular solution y, using the method of undetermined coefficients, what should be the appropriate guess for yp? (A) yp(x) − 4x² + Bx + (Cx sin x +Dx cos.x+ E sinx+Fcos x)e (B) y(x) - 4x³ + Bx² + (C sinx + D cos.x) et (C) yp(x) = 4x³ + (Bx sinx + Cx cos x)e* (D) y(x) = 4x² + Bx + (C sinx + D cos x)e*
The following second-order ODE ay"+by+cy = 4x + (sin.x) e* has a complementary solution given by ye = cx + c₂. If we want to find a particular solution y, using the method of undetermined coefficients, what should be the appropriate guess for yp? (A) yp(x) − 4x² + Bx + (Cx sin x +Dx cos.x+ E sinx+Fcos x)e (B) y(x) - 4x³ + Bx² + (C sinx + D cos.x) et (C) yp(x) = 4x³ + (Bx sinx + Cx cos x)e* (D) y(x) = 4x² + Bx + (C sinx + D cos x)e*
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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Transcribed Image Text:Problem #5: The following second-order ODE
ay" +by+cy = 4x + (sin.x) e*
has a complementary solution given by yo = cx + c₂. If we want to find a particular solution y, using the
method of undetermined coefficients, what should be the appropriate guess for yp?
(A) yp(x) - Ax² + Bx + (Cx sin x +Dx cos .x + E sin x + F cos x) e' (B) yp(x) − 4x³ + Bx² + (C sin x + D cos x) er
(C) yp(x) = 4x³ + (Bx sin x + Cx cos x) e* (D) yp(x) = 4x² + Bx + (Csin.x + D cos x) et
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