Question

a) Please derive transfer function representations for the following two systems represented by differential equations.\ 1) \ddot{y}(t) + 5\dot{y}(t) - 2y(t) = 6u(t)\ 2) \ddot{y}(t) + 2y(t) = u(t)\ b) Please derive transfer function representations of the linearized systems in Problem 2.

Name: a) Please derive transfer function representations for the following two systems represented by differential equations.1) ÿ(t) + 5ẏ(t) - 2y(t) = 6u(t)2) ÿ(t) + 2y(t) = u(t)b) Please derive transfer function representations of the linearized systems in Problem 2.
Uploaded: 2023-02-23T17:22:14-08:00
Duration: 2 min 4 s
Channel: Sri K
Description: a) Please derive transfer function representations for the following two systems represented by differential equations.1) ÿ(t) + 5ẏ(t) - 2y(t) = 6u(t)2) ÿ(t) + 2y(t) = u(t)b) Please derive transfer function representations of the linearized systems in Problem 2.

          a) Please derive transfer function representations for the following two systems represented by differential equations.\
1) \ddot{y}(t) + 5\dot{y}(t) - 2y(t) = 6u(t)\
2) \ddot{y}(t) + 2y(t) = u(t)\
b) Please derive transfer function representations of the linearized systems in Problem 2.

a) Please derive transfer function representations for the following two systems represented by differential equations.1) ÿ(t) + 5ẏ(t) - 2y(t) = 6u(t)2) ÿ(t) + 2y(t) = u(t)b) Please derive transfer function representations of the linearized systems in Problem 2.

Added by Connor B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

02/23/2023

Step 1

Given differential equation: ̈y(t) + 5 ̇y(t) − 2y(t) = 6u(t) Taking the Laplace transform of the equation: s^2Y(s) + 5sY(s) - 2Y(s) = 6U(s) Rearranging to solve for the transfer function H(s) = Y(s)/U(s): H(s) = Y(s)/U(s) = 6 / (s^2 + 5s - 2) Therefore, Show more…

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Please derive transfer function representations for the following two systems represented by differential equations. 1) ̈y(t) + 5 ̇y(t) − 2y(t) = 6u(t) 2) ... y (t) + 2y(t) = u(t) b) Please derive transfer function representations of the linearized systems in Problem 2. 2a) Please derive transfer function representations for the following two systems represented by differential equations. y^(¨)(t)+5y^(˙)(t)-2y(t)=6u(t) y^(⃛)(t)+2y(t)=u(t) b) Please derive transfer function representations of the linearized systems in Problem 2. a) Please derive transfer function representations for the following two systems represented by differential equations. 1) j(t)+5y(t) -2y(t)= 6u(t) 2) ij(t) +2y(t) = u(t) b) Please derive transfer function representations of the linearized systems in Problem 2.