6. Solve the following initial value problem y"+ 2yty- sin3) y(O) 1 y'(0)-1
Solve the initial value problem y = (x – 1)(y – 6), y(0) = 5. y =
Solve the following initial value problem: y(0) 1, =
Solve the following initial value problem. St/2 if 0 <t<6 y" +y= 3 ift > 6 6 y(0) = y'(0) = 0 14Pm1011* 1917 Prid A++ V "Top14
#6 Solve the initial value problem y(0)- 2, y,(0) 1 y"-3y' + 2y-6(t-3);
3) Solve the following initial value problem. ( 1; 0 <t y" + y = f(t), y(0) = 2, y'(0) = -1, where f(t) = } nere -1; En VI t
1. use the Laplace transform to solve initial value problem Y(0)=0, Y'(o)= 1 Y"_By tay 11 e
(1 point) Solve the following initial value problem: y" + 9y = u5(t); y(0) = 0, y' (O) = 0. For step functions, remember to use uſt - c) rather than uc(t). g(t) = ||
5. (13 pts) Solve the following initial value problem: y" + 2y' + y-ul (t)o V"(0) 0. y(0) 0, (t-1), -(t1) cos
Solve the given initial value problem. y'' + 4y' = 0; y(0) = 6, y'(0) = - 16 The solution is y(t) = _______
6. Solve the given initial value problem, with y0 = 2 and y'0) = 5: y" - 6y' + 5y = 20t +1