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Problem in differential equations and linear algebra
EXERCISE 1: Use the Euler-Lagrange Method or Integrating Factor Method to find the general solution to dx/dt = 3x + 2c2e-2t and use it to form the general solution to the partially decoupled system.
EXERCISE 2: Construct an appropriate diagonalizing matrix, decouple the linear system, the solve it.
x- =
EXERCISE 3: Construct an appropriate diagonalizing matrix, decouple the linear system, then solve the nonhomogeneous system.
Attachment:- DecouplingSystems.pdf
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This assignments is on solving Differential equations for partially coupled and decoupled systems. It has three questions invloving solving of differential equation using Integrating Factor Method.
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