Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms...
Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + y = f(t), y(0) - 1, 0) = 0, where - (1, osta 1/2 f(0) = sin(t), t2/2 . 70 y() = 1 (4- 7 )sin(e- 1 + cost- -cos( - ) Dale X Need Help? Read Watch Talk to a Tutor Submit Answer
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" - 25y = g(t), y(0) = 1, y'(0) = 4, where g(t)= [ t, t>2 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) (Type an exact answer in terms of e.)
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y' + 5y = 5t? -9, y(0) = 0, y'(0) = -3 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 169=122 3.sin (1960) - cos (15) -
Use the Laplace transform to solve the given initial-value problem.$$ y^{\prime}+y=f(t), \quad y(0)=0, \text { where } f(t)=\left\{\begin{array}{rr} 0, & 0 \leq t<1 \\ 5, & t \geq 1 \end{array}\right. $$
Solve the given initial value problem using the method of Laplace transforms. y'' + 3y' +2y = tu(t-3); y(0) = 0, y'(0) = 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Solve the given initial value problem. y(t) = | Properties of Laplace Transforms L{f+g} = £{f} + L{g} L{cf} = CL{f} for any constant £{e atf(t)} (s) = L{f}(s-a) L{f'}(s) = sL{f}(s) – f(0) L{f''}(s) =...
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y = 2e-, y(0) = 1, (O) = 3. 18. Use the Laplace transform to solve the initial value problem: 4y" – 4y + 5y = 4 sin(t) – 4 cos(1), y(0) = 0, y(0) = 11/17.
1. (5 points) Use a Laplace transform to solve the initial value problem: y' + 2y + y = 21 +3, y(0) = 1,5 (0) = 0. 2. (5 points) Use a Laplace transform to solve the initial value problem: y + y = f(t), y(0) = 1, here f(0) = 2 sin(t) if 0 Str and f(0) = 0 otherwise.
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' + 2y = 2t4, y(0) = 0, y'(0) = 0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) = Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -7y' + 12y = 3t e 3t, y(0) = 4, y'(0) = -1 Click...
Use the Laplace transform to solve the given initial-value problem. so, 0 <t< 1 y' + y = f(t), y(0) = 0, where f(t) 17, t21 y(t) = + ult-
Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below y+2yt22, y(0) = 0, y'(0) = - 2 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms Y(s)= Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below y+2yt22, y(0) = 0, y'(0) = - 2 Click here to view the table of Laplace transforms Click here...