Solve the following differential equations using method of
undetermined coefficients:
a) y''-5y'+6y=2t-3e^(-4t)
b)y''+4y=5cos(2x)
c)y''''-y''=3x+yxe^(-x)
d)y''-3y'-4y=3+e^(4t)
Solve the following differential equations using method of
undetermined coefficients:
a) y''-5y'+6y=2t-3e^(-4t)
b)y''+4y=5cos(2x)
c)y''''-y''=3x+yxe^(-x)
d)y''-3y'-4y=3+e^(4t)
Solutions
Expert Solution
According to the rules only
first question will be answered
Undetermined Coefficients:
a) y'' + y' - 2y = x^2
b) y'' + 4y = e^3x
c) y'' + y' - 2y = sin x
d) y" - 4y = xe^x + cos 2x
e) Determine the correct form of a particular solution, do not solve
y" + y = sin x
Consider the system of equations
2x-5y=a
3x+4y=b
2x- 4y=c
where a, b, c are constants. Because there are 3 equations and 3
unknowns, there are no possible values of a, b and c for which the
system of equations has a unique solution. True or false?