What is difference between differential equation and difference equation? Solve following difference equation using Z-transform method?...
What is difference between differential equation and difference equation? Solve following difference equation using Z-transform method? Draw final block diagram?
x(k+2) +3x(k-1)+ 2x(k)=u(k)
Homework Answers
Differential equation involves derivatives of function. Difference equation involves difference of terms in a sequence of numbers. People sometimes construct difference equation to approximate differential equation so that they can write code to solve differential equation numerically. However, this is not the only application of difference equation. Difference equation is very useful in discribing discrete problems.
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What is difference between differential equation and difference
equation? Solve following difference equation using Z-transform
method?...
6) a) Solve the following differential equation using the Laplace transform method. dy = 1.87ylt) +...
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-...
please solve both 1&2 Solve the following differential equations using the Laplace transform method 1. x"...
please solve both 1&2
Solve the following differential equations using the Laplace transform method 1. x" + 4x = t, x(0) = 0, x'(0) = 1. 2. x" + 2x' + x = t?, x(0) = 0, x'(0) = 1
Using Z-transform, find the output of an LTID system specified by the linear difference equation: |...
Using Z-transform, find the output of an LTID system specified by the linear difference equation: | [n+1]+[n] = 2x[n], if the initial conditions are yl- 1] = 1, and the input x[n] = 4-u[n]. (20 points)
Using the Laplace transform, solve the partial differential equation. Please with steps, thanks :) Problem 13: Solving...
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...
2. Solve the following partial differential equation using Laplace transform. Express the solution of u in...
2. Solve the following partial differential equation using Laplace transform. Express the solution of u in terms of t&x. alu at2 02u c2 2x2 u(x,0) = 0 u(0,t) = f(t) ou = 0 == Ot=0 lim u(x, t) = 0
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) +...
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) + e-2t, χ(0) = 0, x'(0) = 0
xtra points: Solve the following differential equation with initial condi- tion by using the Laplace transform...
xtra points: Solve the following differential equation with initial condi- tion by using the Laplace transform method 3 y(0) =-1 dy dt (0) = 2
solve k2 Solve the following partial differential equation by Laplace transform: д?у ду dx2 at ,...
solve
k2 Solve the following partial differential equation by Laplace transform: д?у ду dx2 at , with the initial and boundary conditions: t = 0, y = A x = 0, y = B[u(t) – uſt - to)] x = 0, y = 1 5 Where, k, A, B and to are constants
Practical 2: • A. Solve the following difference equations using the sequential method: y[k] – y[k...
Practical 2: • A. Solve the following difference equations using the sequential method: y[k] – y[k – 1] = x[X] + x[k – 1] where x[k] = 0.8ku[k] and y-1) = 0. B. Plot the results for the range o sk s 20. • A. Solve the following difference equations using the z-transform: y[k] + 2.5y[k – 1] +y[k – 2] = x[k] + x[k – 1] where x[k] = 0.8ku[k]. B. Plot the results for the range o sk...
Solve using the Fourier Transform Method. 2.24) Solve Laplace's equation in a strip using Fourier transforms:...
Solve using the Fourier Transform Method.
2.24) Solve Laplace's equation in a strip using Fourier transforms: u,)+ e-lal, u(x, L) = 0, u(x, y)0 as0o.
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-...
please solve both 1&2
Solve the following differential equations using the Laplace transform method 1. x" + 4x = t, x(0) = 0, x'(0) = 1. 2. x" + 2x' + x = t?, x(0) = 0, x'(0) = 1
Using Z-transform, find the output of an LTID system specified by the linear difference equation: | [n+1]+[n] = 2x[n], if the initial conditions are yl- 1] = 1, and the input x[n] = 4-u[n]. (20 points)
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...
2. Solve the following partial differential equation using Laplace transform. Express the solution of u in terms of t&x. alu at2 02u c2 2x2 u(x,0) = 0 u(0,t) = f(t) ou = 0 == Ot=0 lim u(x, t) = 0
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) + e-2t, χ(0) = 0, x'(0) = 0
xtra points: Solve the following differential equation with initial condi- tion by using the Laplace transform method 3 y(0) =-1 dy dt (0) = 2
solve
k2 Solve the following partial differential equation by Laplace transform: д?у ду dx2 at , with the initial and boundary conditions: t = 0, y = A x = 0, y = B[u(t) – uſt - to)] x = 0, y = 1 5 Where, k, A, B and to are constants
Practical 2: • A. Solve the following difference equations using the sequential method: y[k] – y[k – 1] = x[X] + x[k – 1] where x[k] = 0.8ku[k] and y-1) = 0. B. Plot the results for the range o sk s 20. • A. Solve the following difference equations using the z-transform: y[k] + 2.5y[k – 1] +y[k – 2] = x[k] + x[k – 1] where x[k] = 0.8ku[k]. B. Plot the results for the range o sk...
Solve using the Fourier Transform Method.
2.24) Solve Laplace's equation in a strip using Fourier transforms: u,)+ e-lal, u(x, L) = 0, u(x, y)0 as0o.
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