solve non-homogeneous de y" + y = sec^2x by finding-
the solution yh(x) to the equivalent homogeneous de
the particular solution yp(x) using variation of
parametrs
the general solution y(x) = yh(x) + yp(x) of the de
please explain the steps
y''+ 3y'+2y=e^t
y(0)=1
y'(0)=-6
Solve using Laplace transforms.
Then, solve using undetermined coefficients.
Then, solve using variation of parameters.
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
y''+2y'+5y=3sin(2t)
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
y''+4y=3csc2t
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
y''+2y'+y=2e^t
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.