Solve the initial value problem. ds dt = cost – sint, s (7) = 3 NOTE:...
Solve the initial value problem. x = {} = }}x, x() - [!] - cost – 12 sint 2 cost – 5 sint ] [-9 cost – 8 sint] © x(t) = -9 cost – 8 sin t] t t cost + 12 sint] | 2 cost + 5 sint © x(t) = 12cost – 5 sint] 1-6 cost – 7 sint | 2 cost – 5 sint ]
please answer asap thank you dx / 3. Solve the initial value problem: live the initial value problem: os - ( 2 )x, x(0) = ( 3.). To dt
Solve the initial value problem y" + 3y' + 2y = 8(t – 3), y(0) = 2, y'(0) = -2. Answer: y = u3(t) e-(-3) - u3(t)e-2(1-3) + 2e-, y(t) ={ 2e-, t<3, -e-24+6 +2e-l, t>3. 5. [18pt] b) Solve the initial value problem y' (t) = cost + Laplace transforms. +5° 867). cos (t – 7)ds, y(0) – 1 by means of Answer:
(1 point) Solve the following initial value problem: dy + 0.6ty = 3t dt with y(0) = 5. y = (1 point) Solve the following initial value problem: dy dt + 2y = 3t with y(1) = 7. y
3 pts Question 7 is The solution of the initial-Value Problem (IVPI 38 - 2y = 4(x - 2) v(I) = 4 W(1) = -1 4 +-9 + 1 O 1 +? - 24 0 417 +-+3 None of them o 1 +- 2c + 4 D Question 8 3 pts The power series solution of the initial Value Problem (IVP) (x+1) + xy + 2xy = 0 (0) = 2 (0) = 3 given by None of them 2125...
(Problem 3) Consider the following three-species ecosystems: dF F(a – cS) dt ds S(-k + \F – mG) dt dG G(-e+oS). dt Assume that the coefficients are positive constants. Describe the role each species plays in this ecological system. =
5. [-/2 Points] DETAILS SCALCLS1 10.2.025. Solve the initial value problem dx/dt = Ax with x(0) = Xo. A-[3] [2] x(t)
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]
(1 point) Solve the initial value problem dr dt + 4x = cos(4) with x(0) = -5. z(t) = 1
Question 7 3 pts The solution of the Initial-Value Problem (IVP) zy! - 2y = 4(x - 2) y(1) = 4 y (1) = -1 is 1 23 +22 -3 +3 +2.3 -2.0.4 1 Y L 22 - 2.0 + 4 2 None of them 0 4 2.- - 2 + 1 y = 2 Question 8 3 pts The power series solution of the Initial-Value Problem (IVP) (22 +1)yll + xy + 2xy = 0 y(0) = 2 is...