Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1+t dt 7. Solve for x(t). 2 x(t) 1 e + 4 7 cos 2t + 20 23 -sin t, t >0 5 O¤(t) = 1 et + 7 cos 2t + 20 23 sin 2t, t > 0 10 | Ox(t) 2 t 4 cos 2t + - sint, t > 0 1 2 et + 4 5 7 cos 2t + 20 23 O ¤(t) -sin 2t, t > 0 10 8. Solve for y(t). 23 1 y(t) 7 -sin 2t + 20 -cos 2t, t > 0 10 2 4 e' + 5 1 Oy(t) Cos 2t + -sin 2t, t > 0 5 1 t 1 7 -sin 2t + 20 23 Oy(t) Cos 2t 5 t t >0 2 - 2

Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1+t dt 7. Solve for x(t). 2 x(t) 1 e + 4 7 cos 2t + 20 23 -sin t, t >0 5 O¤(t) = 1 et + 7 cos 2t + 20 23 sin 2t, t > 0 10 | Ox(t) 2 t 4 cos 2t + - sint, t > 0 1 2 et + 4 5 7 cos 2t + 20 23 O ¤(t) -sin 2t, t > 0 10 8. Solve for y(t). 23 1 y(t) 7 -sin 2t + 20 -cos 2t, t > 0 10 2 4 e' + 5 1 Oy(t) Cos 2t + -sin 2t, t > 0 5 1 t 1 7 -sin 2t + 20 23 Oy(t) Cos 2t 5 t t >0 2 - 2

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...

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