Solve the initial value problem. (a) y' = -xe*, y(0) = 1 (b) y = x sinx?, y () = = 1 (c) y' = tan x, y(x/4) = 3 (d) y" = x*, y(2) = -1, y'(2) = -1 (e) y" = xe²*, y(0) = 7, y'(0) = 1 %3D () y" = -x sin x, y(0) = 1, y'(0) = -3 (g) y" = x²e*, y(0) = 1, y'(0) = -2, y"(0) = 3 (h) y" = 2+ sin 2x, y(0) = 1, y'(0) = –6, y"(0) = 3 v(2) = 1. y'(2) = -4. %3D %3D (1) y" = 2r +1. y"(2) = 7

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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Only a, d, i

4.
Solve the initial value problem.
(а) у'3-хе*, у(0)- 1
(b) y' = x sin x, y(
(с) у 3 tan x, у(л/4) 3 3
(d) y" = x*, y(2) = -1, y'(2) = -1
(e) y" = xe2x, y(0) = 7, y'(0) = 1
() y" = -x sin x, y(0) = 1, y'(0) = -3
(g) y" = x?e*, y(0) = 1, y'(0) = -2, y"(0) = 3
(h) у" — 2 + sin 2x, у(0) 3D 1, у'(0) 3 —6, у" (0) 3 3
() у" — 2х + 1, у(2) 3D 1, у'(2) 3 —4, у"(2) — 7
%3D
у (0) 3D 1, у'(0) — —6, у"(0) - 3
Transcribed Image Text:4. Solve the initial value problem. (а) у'3-хе*, у(0)- 1 (b) y' = x sin x, y( (с) у 3 tan x, у(л/4) 3 3 (d) y" = x*, y(2) = -1, y'(2) = -1 (e) y" = xe2x, y(0) = 7, y'(0) = 1 () y" = -x sin x, y(0) = 1, y'(0) = -3 (g) y" = x?e*, y(0) = 1, y'(0) = -2, y"(0) = 3 (h) у" — 2 + sin 2x, у(0) 3D 1, у'(0) 3 —6, у" (0) 3 3 () у" — 2х + 1, у(2) 3D 1, у'(2) 3 —4, у"(2) — 7 %3D у (0) 3D 1, у'(0) — —6, у"(0) - 3
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