Solve the given initial-value problem. y'' + 4y' + 4y = (5 +
x)e^(−2x) y(0) = 3, y'(0) = 6
Arrived at answer
y(x)=3e^{-2x}+12xe^{-2x}+(15/2}x^2e^{-2x}+(5/6)x^3e^{-2x) by using
variation of parameters but it was incorrect.
Consider the following initial value problem to be solved by
undetermined coefficients. y″ − 16y = 6, y(0) = 1, y′(0) = 0
Write the given differential equation in the form L(y) = g(x)
where L is a linear operator with constant coefficients. If
possible, factor L. (Use D for the differential operator.)
( )y = 16
Solve the initial value problem: y'' + 4y' + 4y = 0; y(0) = 1,
y'(0) = 0.
Solve without the Laplace Transform, first, and then with the
Laplace Transform.
Solve the given Boundary Value Problem. Apply the method
undetermined coefficients when you solve for the particular
solution.
y′′+2y′+y=(e^-x)(cosx−sinx)
y(0)=0,y(π)=e^π