Find a particular solution of the given differential equation.
Use a CAS as an aid in carrying out differentiations,
simplifications, and algebra.
y(4) + 2y'' + y = 11 cos(x) − 12x sin(x)
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
Find the general solution to the differential equation below.
y′′ − 6y′ + 9y = 24t−5e3
Calculate the inverse Laplace transform of ((3s-2)
e^(-5s))/(s^2+4s+53)
Calculate the Laplace transform of y = cosh(at) using the
integral definition of the Laplace transform. Be sure to note any
restrictionson the domain of s. Recall that cosh(t)
=(e^t+e^(-t))/2
1)Find the general solution of the given second-order
differential equation.
y'' − 7y' + 6y = 0
2)Solve the given differential equation by undetermined
coefficients.
y'' + 4y = 6 sin(2x)