(1 point) Solve the initial value problem dr dt + 4x = cos(4) with x(0) = -5. z(t) = 1
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.)
Solve the given initial value problem. = 4x + y - e (0) = 2 dt dy dt =x+uya (0) = -3 The solution is x(t)= and y(t)=
Solve the given initial value problem. x(0) = 1 dx = 4x +y- e 3t, dt dy = 2x + 3y; dt y(0) = -3 The solution is X(t) = and y(t) =
Solve the given initial value problem. | | - = 4x + y; | (0) = 3 2 = -2x+y, y(0)=0 | The solution is x(t) = I and y(t) = D. Find the critical point set for the given system. | = y +5 = x + y - 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The set of critical points is { }. (Use a...
3) Solve the initial value problem: x' = 1 - 2step(t-1) + step(t - 2);x(0) = 0
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)
2. Solve the initial value problem = 4x + 2y, = 2x + y with r(0) = 1, y(0) = 0.
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 following initial value problem 1 2 3 4 01 63 0 012 x +e' 0001 o x(0)0 Solve the following initial value problem 1 2 3 4 01 63 0 012 x +e' 0001 o x(0)0