Solve the given initial-value problem. - 5y = 0, y(1) = 0, y'(1) = 9 OL
Use the Laplace transform to solve the given initial-value problem.y'' − 5y' = 8e4t − 4e−t, y(0) = 1, y'(0) = −1y(t) =
Use the Laplace transform to solve the given initial-value problem.y'' − 5y' = 8e4t − 4e−t, y(0) = 1, y'(0) = −1y(t) =
Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 5y = 0, y(0) = 1, y'(O) = 0 y(t) =
3(10pt). Solve the initial value problem: y(3) – 5y" + 6y' = 0, y(0) = 1, y(0) = 0, y" (0) = 1.
Solve the initial value problem. 9 dy 3 +5y 3 e 0, y(0)=7 dx The solution is y(x) =I
Solve the initial value problem y" – 2y' + 5y = 0; y(0) = 2, y'(0) = -4. For answer from (a), determine lim y(t).
Solve the given initial-value problem. dy = x + 5y, y(0) = 3 y(x) = Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.) I =
Use Laplace Transforms to solve the initial value problem y' + 5y = ezt with y(0) = 3.
6. Solve the given initial value problem, with y0 = 2 and y'0) = 5: y" - 6y' + 5y = 20t +1
5.Solve the initial value problem y" +5y' +6y-g(t), y(0) 0,(0) 2, where (t)-t 1<t<5,. 1, 5 < t. Then sketch the graph of the solution. (Use technologies. Be sure the graph is neat.) Sec. 7.6.39]