5.5 ConvolutionandtheLaplaceTrans- form

5.5. CONVOLUTION AND THE LAPLACE TRANSFORM 175 Convolution and Second Order Linear with Constant Coefficients Consider ay 00 +by 0 +cy = g(t), y (0) = c 1, y 0(0) = c 2. If we have the particular solution to the homogeneous yhomo part (t) that sat- isfied the initial conditions y(0) = c1 and y0(0) = c2 then y(t) = yhomo part (t)+ f ∗g(t) will solve the nonhomogeneous IVP.

  Form, Linear, Second, Order, Convolutions, Transform, Laplace, Nonhomogeneous, Second order linear, Convolutionandthelaplacetrans form, Convolutionandthelaplacetrans, Convolution and the laplace transform