4. Solve the given differential equation (i.e., find y(t)) using Laplace transform method: and subject to...
Q4. Laplace Transforms a) (20 points) Solve the differential equation using Laplace transform methods y" + 2y + y = t; with initial conditions y(0) = y(O) = 0 |(s+2) e-*) b) (10 points) Determine L-1 s? +S +1
3. Using Laplace transform, solve the differential equation y" +2y' +y=te* given that y(0) = 1, y'(0)= -2.
6 (5) Solve the differential equation using a Laplace Transform: y 3y' +2y t y(0) 0, y'(0) 2
differential equation with Solve the following given initial conditions using the Laplace transform. y" +Sy't by : 4 (t-1)-8(+-2) y 10) = -2 y 10) =5 and
y(t)=?
Solve the following differential equation by Laplace transforms. The function is subject to the given conditions. y'' +81y = 0, y(0) = 0, y'(0) = 1 Click the icon to view the table of Laplace transforms. y = (Type an expression using t as the variable. Type an exact answer.)
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
(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) =
Using the Laplace transform, solve the partial differential
equation.
Please with steps, thanks :)
Problem 13: Solving a PDE with the Laplace Transform Using the Laplace transform, solve the equation 山 given the initial and boundary conditions a(x, 0)=1 ifx> 0, u(0, t) -1 if t 2 0.
Problem 13: Solving a PDE with the Laplace Transform Using the Laplace transform, solve the equation 山 given the initial and boundary conditions a(x, 0)=1 ifx> 0, u(0, t) -1 if t...
6) a) Solve the following differential equation using the Laplace transform method. dy = 1.87ylt) + 4.05 y0) = 1 You may need the expression, 1.05 4.05 s(s - 1.87) 1.87(s - 1.87) 4.05 1.87s [8 marks] b) Solve the following differential equation using the Laplace transform method. dºy + 2.61X + 6.55y(t) = 0 y(0) = 1, y'(0) = 1 2. You may need the expression, s +1 +2.61 52 +2.615 +6.55 *2.01.2015 - | 1+2,61 (8+2.01) + ((6.55-...
Solve the following differential equation by Laplace transforms. The function is subject to the given conditions. y'' +49y = 0, y(0) = 0, y'0)=1 Click the icon to view the table of Laplace transforms. y = (Type an expression using t as the variable. Type an exact answer.)