Question

In: Mechanical Engineering

Find the general solution for the following ODEs. If initial condition is given, solve the initial...

Find the general solution for the following ODEs. If initial condition is given, solve the initial value problem.

3) (D^4 − 13D^2 + 36I)y = 12e^x

4) (D^3 − D^2 − D + I)y = 0, y(0) = 0, Dy(0) = 1, D^2y(0) = 0

Solutions

Expert Solution

I hope this solution would help you to clear your doubts.

If you have any queries regarding this solution Let me know in comment section I will definitely help you.

Good luck and Thanks ?


Related Solutions

Solve each of the following ODEs. If initial conditions are given, give the unique solution. d)...
Solve each of the following ODEs. If initial conditions are given, give the unique solution. d) y''' − 5y'' + 2y' + 8y = 0, y(0) = 2, y'(0) = −1, y''(0) = −5 e) y''' + 9y'' + 27y' + 27y = 0, y(0) = 2, y'(0) = 0, y''(0) = 3 a) x^2y'' + xy' + 4y = 0, x > 0 b) x^2y'' − 6y = 0, x > 0, y(1) = y'(1) = 5 c) x^2y''...
Question 1. Find the general solution of the following ODEs a) y′′ − 2y′ − 3y...
Question 1. Find the general solution of the following ODEs a) y′′ − 2y′ − 3y = e−x + 2e3x b) y′′ + y′ + y = x2 + 4 cos x.
How do you solve this? Find the general solution of the given differential equation Show all...
How do you solve this? Find the general solution of the given differential equation Show all steps y''-5y'-6y=10tsin(3t)
Use ‘Reduction of Order’ to find a second solution y2 to the given ODEs: (a) y′′+2y′+y=0,...
Use ‘Reduction of Order’ to find a second solution y2 to the given ODEs: (a) y′′+2y′+y=0, y1 =xe−x (b) y′′+9y=0, y1 =sin3x (c) x2y′′+2xy′−6y=0, y1 =x2 (d) xy′′ +y′ =0, y1 =lnx
Find the closed formula solution to each of the following recurrence relations with the given initial...
Find the closed formula solution to each of the following recurrence relations with the given initial conditions. Use an iterative approach and show your work! What is a_100? a) a_n=a_(n-1)+2,a_0=3 b) a_n=a_(n-1)+2n+3,a_0=4 c) a_n=2a_(n-1)-1,a_0=1 d) a_n=-a_(n-1),a_0=5
Find the closed formula solution to each of the following recurrence relations with the given initial...
Find the closed formula solution to each of the following recurrence relations with the given initial conditions. Use an iterative approach and show your work! What is a100 ? an=an-1+2, a0=3 an=an-1+2n+3, a0=4 an=2an-1-1, a0=1 an=-an-1, a0=5
y'' + y=tanx+3x-1 solve the ode and find the general solution?
y'' + y=tanx+3x-1 solve the ode and find the general solution?
Use the one solution given below to find the general solution of the differential equation below...
Use the one solution given below to find the general solution of the differential equation below by reduction of order method: (1 - 2x) y'' + 2y' + (2x - 3) y = 0 One solution: y1 = ex
Find the general solution of the following differential equations (complementary function + particular solution). Find the...
Find the general solution of the following differential equations (complementary function + particular solution). Find the particular solution by inspection or by (6.18), (6.23), or (6.24). Also find a computer solution and reconcile differences if necessary, noticing especially whether the particular solution is in simplest form [see (6.26) and the discussion after (6.15)]. (D2+2D+17)y = 60e−4x sin 5x
Solve the given nonhomogeneous ODE by variation of parameters or undetermined coefficients. Give a general solution...
Solve the given nonhomogeneous ODE by variation of parameters or undetermined coefficients. Give a general solution and show all details of your work. a) y''-4y'+4y=x^2e^x b) (D^2-2D+I)y=x^2+x^(-2)e^x
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT