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
Solve the following initial value problem: x" + x = 9e-31 x(0) = 4 x' (O) = 4 x(t) =
O Solve the initial value problem x" + 4x = (t - 1); x(0) = 2, x'(0) = 0
[-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) =
2 4. Solve the initial value problem: X' 1 1 4 0 2 0 1 1 1 X X(0) = 6 0
Solve the initial value problem with 4 x'(t) = A, fort > O with x(0) = Classify the nature of the origin as an attractor, repeller, or saddle point of the dynamical system described Ax=b. Find the directions of greatest attraction and/or repulsion. x(o)= [1] A-[18 -16] -2 - 4 10 -16 2 -120 1 a. x(t)= (0,0) is a saddle point 5 2 120 b. x(t)= 1 + 6 le -61 (0,0) is an attractor 5 C. x(t)= o[1]...
#01) Use separation of variables to solve the following initial value problem x+ye x dy = 0; y(1) = 1 Q2) Solue linear equtians dy - {ysetzt cost
Question 4 a) Solve the Initial value problem. (PLO-3, CLO-3,C3) Marks-13 (x+1) - ny =e(x+1)n+1, y(0)=1 dx b) Solve the following non-linear first order ordinary differential equation. yp+ (x – y)p- xy = 0 (PLO-4, CLO-4,C4) Marks-12
1 ]x 3. Solve the initial value problem. 0 0 1 (1) x = 0 10 X, X(0) 1_0_0 5 =3 0 -4 (2) x = -1 -1 -1 X, X(0)= 0 1 1= 13 = la ;1- =ܬ [ 3 2 0 lu-la = lg=-1 1 1
Solve the given initial-value problem. 8-1), x(0)=( -4 8 Solve the given initial-value problem. 8-1), x(0)=( -4 8
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)