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10 Nov 2019
Given an ODE y''+16y = 4sin(4t), Find its general solution following steps below:
a) Find the general solution of the homogeneous ODE (the left hand side) and call it yh.
b) Verify yp = -0.5tcos(4t) is a solution (i.e. Show that yp'' + 16yp = 4sin(4t).) a solution, i.e. show that )
c) Construct the general solution of this ODE y = yh + yp
We are suppose to be using this table I included as a picture, as we are learning about solution by undetermined coefficients.
Please give a detailed step-by-step as it is the little details that are tripping me up. Thank you!
Term in r(x) ke Choice for y
Given an ODE y''+16y = 4sin(4t), Find its general solution following steps below:
a) Find the general solution of the homogeneous ODE (the left hand side) and call it yh.
b) Verify yp = -0.5tcos(4t) is a solution (i.e. Show that yp'' + 16yp = 4sin(4t).) a solution, i.e. show that )
c) Construct the general solution of this ODE y = yh + yp
We are suppose to be using this table I included as a picture, as we are learning about solution by undetermined coefficients.
Please give a detailed step-by-step as it is the little details that are tripping me up. Thank you!
Term in r(x) ke Choice for y
Jean KeelingLv2
21 Oct 2019
