Solve the third-order initial value problem below using the method of Laplace transforms. y'"' +6y" - 32y' - 240y=240e6ty(0) = 0, y'(0) = 48, y''(0) = -4 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
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- Find the Fourier transform of sinc(t). (a) rect() (b) T rect() 3. 27T (c) T rect() (d) ㅠ rect(은) O e) Moving to another quEstion will eave this reaponse. Type here to search 3/5Solve 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.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).
- 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 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.2. Find Fourier sine and cosine transforms of e*.
- 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.Find the Fourier transform of A(t/4). (a) sinc2 (w/4) (b) sinc²(w/2) Sine (@, (c) sinc²(w) 2. (d) sinc²(2) (e) Maxing to another eu22/onwill s8ve this re one 2Type here to searchFind Fourier transform for the following functions:x(t)=3+(sin2wt)2
- Determine £-'{F}. 2 4s + 59s + 195 F(s) = (s + 6) (s + 3) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 2-'F) =e^3(t+2)/2. Find laplace transform of the functionUse laplace transformation to solve the following differential euqations. Show all the steps (including partial fraction or complering square ) when finding inverse laplace transformation. Do not use computer to slove this . How all the steps. refer to the number in the laplace table that you are using . y''+y=&(t-2pi) y(0)=0 and y'(0)=0 ANSWER SHOULD BE CLEAR. STEP BY STEP