i need help with these two question please Use the Laplace transform to solve the given initial-value problem.
y'' + 7y' + 6y = 0, y(0) = 1, y'(0) = 0
y(t) = 2) Use the Laplace transform to solve the given initial-value problem. y'' − 5y' = 8e4t − 4e−t, y(0) = 1, y'(0) = −1 y(t) =
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Use the Laplace transform to solve the given initial-value problem.y'' + 7y' + 6y = 0, y(0) = 1, y'(0) = 0y(t) =
Use the Laplace transform to solve the given initial-value problem.y'' + 7y' + 6y = 0, y(0) = 1, y'(0) = 0y(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'' − 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) =
Consider the following initial value problem. y" + 6y' + 34y = 8( - 1T) + 6(t – 7), 7(0) = 1, y(0) = 0 Find the Laplace transform of the differential equation. (Write your answer as a function of s.) Use the Laplace transform to solve the given initial-value problem. y(t) = ])-( * sin(70) .).2(e-) + ( [ - alt- Need Help? Read it Talk to a Tutor
5. Use Laplace Transform to solve the initial value problem: y" + 6y' +9y = 4e, y(0) = 0, y'(0) = -1.
13. Use the Laplace transform to solve the initial value problem: (&pts) y" - 6y' + 5y = 3e, y(0) = 2, 7(0) = 3
Solve the following differential equation with given initial conditions using the Laplace transform. y" + 5y' + 6y = ut - 1) - 5(t - 2) with y(0) -2 and y'(0) = 5. 1 AB I
0<t<T when Tt< 2 t 2T sin t when 2. Calculate the Laplace transform of the periodic function f(t) 0 f(t-2) when -7s 3. Calculate the inverse Laplace transform of G(s) 3-4e-5 + $2+2s+17 4. Use the Laplace transform to solve each initial value problem: 4y"+ y u2m(t)sin(t/2) y(0)=0 &(0 =0 (a) 0 and /(0) 2 "+4y+13y = 4to(t-T) if y(0) (b) 5. Use the convolution to write a solution of each initial value problem. y"+6y'+10y g(t) 1 y(0) 0...