Find the general solution for the given differential equation 9y′′′−27y′′+4y′−12y=x+4xe3x9y′′′−27y′′+4y′−12y=x+4xe3x NOTE: Write your answer clearly in...

Find the general solution for the given differential equation
9y′′′−27y′′+4y′−12y=x+4xe3x9y′′′−27y′′+4y′−12y=x+4xe3x

NOTE: Write your answer clearly in below type:
yg=yc+ypyg=yc+yp

Expert Solution

milcah answered 1 year ago

Find the general solution of the differential equation y'' + 4y' + 4y = (e-2t/t2)

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 yh, for the corresponding homogeneous ODE. (b) Use the variation of parameters to find the particular solution yp.

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

Find a power series solution of the given differential equation in powers of x. x2y''+x(x-3)y'+4y=0

Partial Differential Equations (a) Find the general solution to the given partial differential equation and (b)...

Partial Differential Equations (a) Find the general solution to the given partial differential equation and (b) use it to find the solution satisfying the given initial data. Exercise 1. 2∂u ∂x − ∂u ∂y = (x + y)u u(x, x) = e −x 2 Exercise 2. ∂u ∂x = −(2x + y) ∂u ∂y u(0, y) = 1 + y 2 Exercise 3. y ∂u ∂x + x ∂u ∂y = 0 u(x, 0) = x 4 Exercise 4. ∂u...

4)Find the general solution of the following differential equation. y''+4y=tan(x) -pi 5)A mass of 100 grams...

4)Find the general solution of the following differential equation. y''+4y=tan(x) -pi 5)A mass of 100 grams stretches a spring 98 cm in equilibrium. A dashpot attached to the spring supplies a damping force of 600 dynes for each cm/sec of speed. The mass is initially displaced 10 cm above the equilibrium point before the mass is attached, and given a downward velocity of 1 m/sec. Find its displacement for t>0.

Question

Find the general solution for the given differential equation 9y′′′−27y′′+4y′−12y=x+4xe3x9y′′′−27y′′+4y′−12y=x+4xe3x NOTE: Write your answer clearly in...

Solutions

Expert Solution

Related Solutions

Find the general solution of the differential equation y'' + 4y' + 4y = (e-2t/t2)

For the following differential equation y'' + 9y = sec3x, (a) Find the general solution yh,...

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

Find a power series solution of the given differential equation in powers of x. x2y''+x(x-3)y'+4y=0

Partial Differential Equations (a) Find the general solution to the given partial differential equation and (b)...

4)Find the general solution of the following differential equation. y''+4y=tan(x) -pi 5)A mass of 100 grams...

Use the one solution given below to find the general solution of the differential equation below...

Find the general solution of the given differential equation, and use it to determine how solutions...

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

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