Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y"-5y' +6y=4te²t, y(0) = 3, y'(0) = -2
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- Solve the following equations show your solutions. 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1). 2. Find the area of the circle with center at (1, 3) and tangent to the line 5x - 12y - 8 = 0. 3. Determine the Inverse Laplace Transform of F(s) = (s + 2)(e^-s)/(s^2 + 4).Solve the initial value problem below using the method of Laplace transforms. w'' - 4w' + 4w=24t+28, w(-2)= -2, w'(-2) = 5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.Find the Fourier transform of sinc (2t). (a) 2n A(w/2) 3. (b) п Д(u/4) A(w/8 (d) A(w/16) Moving to the next ouestion.prevents changes to chis anaWer
- Apply the translation theorem to find the inverse Laplace transform of the following function. F(s) = %3D 2s - 16 Click the icon to view the table of Laplace transforms. L-^{F(s)} =O (Type an expression using t as the variable.)Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' + y = 5t², 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.Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' - 2y' + y = cos 2t - sin 2t, y(0) = 6, y'(0) = 6 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
- e^3(t+2)/2. Find laplace transform of the functionDescribe in your own words the method you would use to find the Laplace transform of the first derivative, i.e., . From 2 examples.Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of the solution. w''+w=2u(t-3)-u(t-4); w(0) = 2, w'(0)=0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
- xy3dx+(y+1)e-xdy=0 Laplace transformSolve the third-order initial value problem below using the method of Laplace transforms. y'"' + 4y'' - 15y' - 18y = -108, y(0) = 9, y'(0) = 4, y''(0) = 62 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.Find Fourier transform for the following functions:x(t)=3+(sin2wt)2