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 y_h, for the corresponding homogeneous ODE.

(b) Use the variation of parameters to find the particular solution y_p.

Expert Solution

milcah answered 2 years ago

Find the general solution to the differential equation below. y′′ − 6y′ + 9y = 24t−5e3...

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

5. Find the general solution to the equation y'’ + 9y = 9sec2 3t

Find the general solution to the nonhomogeneous differential equation: y"-y=tsint

Find the general solution of the differential equation y′′+9y=13sec2(3t), 0<t<π/6. Use C1, C2,... for the constants...

Find the general solution of the differential equation y′′+9y=13sec2(3t), 0<t<π/6. Use C1, C2,... for the constants of integration. Enter an exact answer. Enter ln|a| as ln(|a|), and do not simplify. y(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

Find the general solution of this differential equation: y'''+y''+y'+y=4e^(-t)+4sin(t)

Find the general solution of the differential equation using the method of undetermined coefficients y" +...

Find the general solution of the differential equation using the method of undetermined coefficients y" + y' - 6y = x^2

Find a general solution to the differential equation using the method of variation of parameters. y''+...

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)= ___

y'=√2x+y+1 general solution of differential equation

Find the general solution to the differential equation. y'=xy/x−4 y(x)=C⋅ ...

Question