DETAILS
BOYCEDIFFEQ10 7.1.007.0/6 Submissions Used
MY NOTES
ASKYOURTEACHER
1 = √(51 + X2X2') (a) Solve the first equation for X2 and substitute into the second equation, thereby obtaining a second order equation for X1. Solve this equation for X1 and then determine X2 also. (Assume X1 and X2 are functions of t, and use X1(t) and X2(t) for X1(t) and X2(t), respectively. Enter your answer as a comma-separated list of equations.)
b) Find the solution of the given system that also satisfies the initial conditions X1(0) = 1, X2(0) = 2.
X1(t) =
X2(t) =
(c) Sketch the curve, for t ≥ 0, given parametrically by the expressions for X1 and X2 obtained in part (b).
X2
X2
2.0
4
1.5
3
1.0
0.5
0.5
1.0
1.5
X1 2.0
1
2
3
X1
X2
X2
2.0
1.5
1.0
0.5
0.5
1.0
1.5
X1 2.0
1
2
3
4
X1