4. Solve the following problem using the Laplace transform method y" +y'+y -, - sin t...
Solve the following initial value problem using the method of Laplace transform. y" + 2y' +10y = f(t); y(0)= 1, y'(0) = 0, where, f(0) = 10, Ost<10, 20, 10<t.
Solve the following initial value problem using the Laplace transform method: y' + 8y = -3, y(0) = -5.
Using the Laplace transform, solve the initial value problem 8. y(0)-0. y" + 4y-sint-u2" sin(t-2r), y(0)-0,
Problem 3. Consider the initial value problem w y sin() 0 Convert the system into a single 3rd order equation and solve resulting initial value problem via Laplace transform method. Express your answer in terms of w,y, z. Problem 4 Solve the above problem by applying Laplace transform to the whole system without transferring it to a single equation. Do you get the same answer as in problem1? (Hint: Denote W(s), Y (s), Z(s) to be Laplace transforms of w(t),...
Solve the initial value problem using the method of the laplace transform. y"-4y'+3y=e^t,y(0)=0,y'(0)=5
(4 points) Use the Laplace transform to solve the following initial value problem: y" – 2y + 5y = 0 y(0) = 0, y'(0) = 8 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}| find the equation you get by taking the Laplace transform of the differential equation = 01 Now solve for Y(3) By completing the square in the denominator and inverting the transform, find g(t) =
Use the Laplace transform to solve the given initial-value problem. y'' + y = sqrt2 sin( sqrt2 (t)), y(0) = 5, y'(0) = 0 y(t) =
Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin it, y(0) = 13, y'(0) = 0 y(t) =
Shavon Clarke 1235) y'' (t) +23y' (t)+120y (t)-o and y(0)#5 and y' (0)-0. The first step in solving this DEQ using the Laplace Transform procedure is to take the Laplace Transform of the DEQ. Determine the Laplace Transform of this DEO. The second step in the Laplace Transform procedure is to solve for Y (s). Determine Y ()(As+B/(s2+Ds+E). Show all the algebraic steps along the way. ans:4 Shavon Clarke * EXAM INSTRUCTIONS BELOW **
Shavon Clarke 1235) y'' (t) +23y'...
4. Solve the given differential equation (i.e., find y(t)) using Laplace transform method: and subject to the conditions that yo) = 0 and y” + 2y'+y=0 y’0) = -2. 21