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Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution. A y(x) = c,e-2r+ c,e-*+3x²– 18x+21 B y(x) = c,e* + c,e' c,e-2+6x² – 18x+21 © y(x) = c,e- + c,e + 2x²– 6x +4 O c,e¬ + c,e- 2r+ 6x³ – 18x²+2 D y (x) =

Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution. A y(x) = c,e-2r+ c,e-*+3x²– 18x+21 B y(x) = c,e* + c,e' c,e-2+6x² – 18x+21 © y(x) = c,e- + c,e + 2x²– 6x +4 O c,e¬ + c,e- 2r+ 6x³ – 18x²+2 D y (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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Consider the following IVP: y" + 3y' + 2y = 12x?; y(0) = a, y'(0) = b Find the solution. -2x A y (x) = c,e- + c,e*+3x²– 18x+21 B B y(x) = c,e* + cz' + 6x² – 18x+ 21 © y(x) = c,e- + c,e° -3x -2x + 2x2- бх + 4 y (x) = c,e¬ + c,e-2*+6x³ – 18x²+2 -2x + 6x3
Transcribed Image Text:Consider the following IVP: y" + 3y' + 2y = 12x?; y(0) = a, y'(0) = b Find the solution. -2x A y (x) = c,e- + c,e*+3x²– 18x+21 B B y(x) = c,e* + cz' + 6x² – 18x+ 21 © y(x) = c,e- + c,e° -3x -2x + 2x2- бх + 4 y (x) = c,e¬ + c,e-2*+6x³ – 18x²+2 -2x + 6x3
Consider the IVP: x" + 3x' +2x = 4t² ; x(0) = 0, x'(0) = 0. Find the general solution. 1 4 6. 8 (A) x(t) s3 7 + s+2 s+1 3 1 7 B x(t) S+2 s+1 4 6 7 8. 1 (c) x(t) = s2 S+1 s+2 4 7 8 D x(t) $3 S+1 S+2 + + + 이익
Transcribed Image Text:Consider the IVP: x" + 3x' +2x = 4t² ; x(0) = 0, x'(0) = 0. Find the general solution. 1 4 6. 8 (A) x(t) s3 7 + s+2 s+1 3 1 7 B x(t) S+2 s+1 4 6 7 8. 1 (c) x(t) = s2 S+1 s+2 4 7 8 D x(t) $3 S+1 S+2 + + + 이익
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