(a) Find the general solution of the differential equation general solution = (U

Question

(a) Find the general solution of the differential equation

general solution =  
(Use the letters A and B for any constants you have in your solution.)

(a) Find the general solution of the differential equation y = y(1)=1: y(0)=0, y = (iv) y(1)=0: y(0)=1, y = (iii) y'(0)=0: y(0)=1, y = (ii) y'(0)=1: y(0)=0, y''(t) + 9 y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. (i)

Explanation / Answer

1.y(t)=Bsin(3t)+Acos(3t)

2.(i) .y(t)=1/3 sin3t

(ii) y(t)=cos(3t)

(iii) y(t)=csc(3) sin(3-3t)

(iiii) y(t)=csc(3)sin(3t)

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