Question

In: Math

Follow the steps bellow to construct a general solution to the equation: y'' + y =...

Follow the steps bellow to construct a general solution to the equation:

y'' + y = 3sect -t2+1

a. find the general solution to the homogeneous version of the problem

b. find the particular solution to y'' + y = 3sect

c. find the particular solution to y'' + y = -t2+1

d. use part (a), (b), (c) to construc the general solution to the original given DE

Solutions

Expert Solution


Related Solutions

y'=√2x+y+1 general solution of differential equation
y'=√2x+y+1 general solution of differential equation
Find the general solution of the equation: y^(6)+y''' = t
Find the general solution of the equation: y^(6)+y''' = t
Find the general solution to the nonhomogeneous differential equation: y"-y=tsint
Find the general solution to the nonhomogeneous differential equation: y"-y=tsint
Find the general solution of this differential equation: y'''+y''+y'+y=4e^(-t)+4sin(t)
Find the general solution of this differential equation: y'''+y''+y'+y=4e^(-t)+4sin(t)
find the general solution of the given differential equation. 1. y'' + y = tan t,...
find the general solution of the given differential equation. 1. y'' + y = tan t, 0 < t < π/2 2. y'' + 4y' + 4y = t-2 e-2t , t > 0 find the solution of the given initial value problem. 3. y'' + y' − 2y = 2t, y(0) = 0, y'(0) = 1
5.       Find the general solution to the equation y'’ + 9y = 9sec2 3t
5.       Find the general solution to the equation y'’ + 9y = 9sec2 3t
Find the general solution to the differential equation. y'=xy/x−4 y(x)=C⋅ ...
Find the general solution to the differential equation. y'=xy/x−4 y(x)=C⋅ ...
Find the general solution of the following second order linear equation. y'' + y = tan(x)
Find the general solution of the following second order linear equation. y'' + y = tan(x)
Consider the equation y''− (sin x)y = 0. Find the general solution as a power series...
Consider the equation y''− (sin x)y = 0. Find the general solution as a power series centered at x = 0. Write the first six nonzero terms of the solution. Write the two linearly independent solutions that form the general solution. Differential Equations
For the following differential equation y'' + 9y = sec3x, (a) Find the general solution yh,...
For the following differential equation y'' + 9y = sec3x, (a) Find the general solution yh, for the corresponding homogeneous ODE. (b) Use the variation of parameters to find the particular solution yp.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT