Second-order differential equations
Second-order differential equations

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Learning outcomes

After studying this course, you should be able to:

  • understand the key role of the principle of superposition in the solution of linear constant-coefficient second-order differential equations

  • obtain the general solution of a homogeneous linear constant-coefficient second-order differential equation using the solutions of its auxiliary equation

  • use the method of undetermined coefficients to find a particular integral for an inhomogeneous linear constant-coefficient second-order differential equation with certain simple forms of right-hand-side function

  • obtain the general solution of an inhomogeneous linear constant-coefficient second-order differential equation by combining its complementary function with a particular integral

  • use the general solution together with a pair of initial or boundary conditions to obtain, when possible, a particular solution of a linear constant-coefficient second-order differential equation.

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