2. Solve the initial value problem. -2 2 (1) X"(t) = X, X(0) = 2 -2...
2. Solve the initial-boundary value problem 2% for 0 < x < 6, t > 0, u(0,t) = u(6,t) = 0 for t > 0, u(x,0) = x(3 - x) for 0 5736. (60 pts.)
Solve the given initial-value problem. Solve the given initial-value problem. 1 X' = 0 0 1 0 1 0 X, X(0) = 1 0 0 6 7 X(t)
3) Solve the initial value problem: x' = 1 - 2step(t-1) + step(t - 2);x(0) = 0
5.7.3 Solve the initial value problem x'(t) Ax(t ) for t2 0, with x(0) = (3,2). Classify the nature of the origin as an attractor, repeller, or saddle point of the dynamical system described by x' Ax. Find the directions of greatest attraction and/or repulsion 12 16 A= 8 12 Solve the initial value problem. x(t) 5.7.3 Solve the initial value problem x'(t) Ax(t ) for t2 0, with x(0) = (3,2). Classify the nature of the origin as an...
O Solve the initial value problem x" + 4x = (t - 1); x(0) = 2, x'(0) = 0
2. Solve the initial-boundary value problem One = 48m2 for 0 < x < 8, t > 0, u(0, t) = u(8,t) = 0 for t > 0, u(2,0) = 2e-4x for 0 < x < 8. (60 pts.)
[-12 Points] DETAILS Solve the given initial-value problem. 1 -4 -6 X' 2 -3 X, X(0) = 1 1 -2 1 -( W NU -3 X(t) = Submit Answer [-12 Points] DETAILS Solve the given initial-value problem. x = $ =)x, x(0) = -(-3) X(t) =
1. Solve the initial-boundary value problem one = 4 for () <<3, t> 0, u(0,t) = u(3, 1) = 0 for t> 0, u(x,0) = 3x – 2” for 0 < x < 3. (30 pts.)
1-1 12) Solve the given initial-value problem. 6 9 X' = X, X(0) = X(t) =
8. DETAILS ZILLDIFFEQMODAP11 8.2.013. Solve the given initial-value problem. 1 2 0 5 X' X(0) = 1 1 2 X(t) =