(2-2) Problem 1, 12 points Let A and consider the system of differential 1 -2 equations...
Use the Laplace transform to solve the given system of differential equations. Use the Laplace transform to solve the given system of differential equations. of + x - x + y = 0 dx + dy + 2y = 0 x(0) = 0, y(0) = 1 Hint: You will need to complete the square and use the 1st translation theorem when solving this problem. x(t) = y(t) =
use Laplace transforms to solve the given system of differential equations ponts) 6)) Use Laplace transforms to solve the system dc y = 2x-2y dt.dt dx _ ay = x - y dt at x(O) = 1, y(0) = 0
2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1 2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1
I NEED THIS DIFFERENTIAL EQUATIONS PROBLEM ASAP PLEASE!! 0 1 4. Use the Laplace transform to solve the given initial value problem. y(1) - y(0) VO) y"0) y"O) 0 1 0
Problem 7. Consider the following system of linear differential equations: = ax + y, dt = ay Let J = 0 Verify that exp(Jt) is the solutions. J = ja 1] a
differential equations Use the Laplace transform to solve the given initial-value problem. y" - y' = e cost, y(0) = 0, y'(O) = 0 y(t) =
differential equations Use the Laplace transform to solve the given initial-value problem. y" - 4y' + 4y = 6%e2t, y(0) = 0, y'(O) = 0 y(t) =
use the Laplace transform to solve the given system of differential equations dx dt dx dt dt dt x(0) 0, y(o)0 x(t) =
equations Ordinary Differential Homework problem 8 consider the initial value problem So if ostki - by Ist 25 12 If if 5< t < ycod=4 your solve for equation for Y Y=[{y} = on both sides of the Take invertse laplace transform previous equation to sclue for y y =
Use the Laplace transform to solve the given system of differential equations.$$ \begin{aligned} &\frac{d x}{d t}=x-2 y \\ &\frac{d y}{d t}=5 x-y \\ &x(0)=-1, \quad y(0)=5 \end{aligned} $$