1. Use the procedures developed in this chapter to find the
general solution of the differential equation.
a.) (Let x be the independent variable.)
y''' − 2y'' = 12
b.) 20x2y'' + 21xy' − y = 0
c.) x2y'' − 6xy' + 10y = −2x4 +
3x2
d.) Solve the given differential equation subject to the
indicated conditions. y'' − 4y = x + sin x, y(0) = 3, y'(0) = 4
e.) Solve the given differential equation subject to
the indicated...
Use the one solution given below to find the general solution of
the differential equation below by reduction of order method:
(1 - 2x) y'' + 2y' + (2x - 3) y = 0
One solution: y1 = ex
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.
Find a general solution to the differential equation using the
method of variation of parameters.
y''+ 25y= sec5t
The general solution is y(t)= ___
y''+9y= csc^2(3t)
The general solution is y(t)= ___