Solve the initial value problem. x = {} = }}x, x() - [!] - cost –...
Solve the initial value problem. ds dt = cost – sint, s (7) = 3 NOTE: This question is bonus, worth 5 points. Os=sint + cost + 2 8 = sint + cost +4 None of them 8 = sint - cost + 2 8=2 sint + 1
In the following problems, solve the given initial value problem using the method of Laplace transforms (a) y" – 7y' + 10y = 9 cost + 7 sint, y(0) = 5, y'(0) = -4 (5 Marks] (b) y" + y = 12 + 2, y(0) = 1, y'(0) = -1 [5 Marks]
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)
Find the solution of the given initial value problem. y" + 2y' +2y = cost+8(-5); y(0) = 3, y'(0) = 5 ° 20) = us20e" sin + + cost ( +ş) + sint (36+}) x() ==««n6e8cose + cost (3e* +) + sint (80* + }) 20 = usz beé" sin + sing (54* +5.) +cos (34++}) ° 40 = =uaz(Dei* cost + cost ("* + 5 ) + sint (3*+ }) 209 = 192(e“ cose + cost (* +) +sint(****+})
fx px 3. Solve the following initial value problem (13.2.20): Differential Equation: = (sin t) î - (cost)ġ + (4 sint cost)k Initial Conditions: (0) = î - R op (0) = î
1-1 12) Solve the given initial-value problem. 6 9 X' = X, X(0) = X(t) =
Solve the initial-boundary value problem for the following equation U = N Ux with U(x, 0) = sin (x) +N ,U(0, t) = 0, and U, (N, t) = 0 Q4| (5 Marks) my question please answer Solve the initial-boundary value problem for the following equation U = N Ux with U(x, 0) = sin (x) +N ,U(0, t) = 0, and U, (N, t) = 0 Q4| (5 Marks) Solve the initial-boundary value problem for the following equation Uų...
ZILLDIFFEQMODAP11 5.1.0. Solve the given initial-value problem. d2x/dt2 + 9x = 5 sin(3t), x(0) = 8, x'(0) = 0 x(t) = _______
None of the above. Question 13 Use the Laplace transform to solve the initial-value problem: [y' + 2y -4 cos(5x), y(0)=2] 2) © plz) - cort5x) + 2 sin(52) + 5.24 1) 242 00452) + o) © Plz)= cos(x) + 2* sin(5x) – 60 6:20 d) y(x) =4 cos(5x) + 2 e) y(x) -4 cos(5x) - 2e2* 1) None of the above. Question 14
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...