Find a particular solution to the following non homogenous equations 1) y''' + y = t^3...

Find a particular solution to the following non homogenous equations

1) y''' + y = t^3 + sin (t) + 11e^t

2) y'' + y = 2tsin(t)

3) y''''' - 4 y''' = e^2t + t^2 +5t + 4

Expert Solution

Colby Messinger answered 2 years ago

Find a particular solution, Yp, of the non-homogenous DE y" + 3y' + 2y = 1/1+ex

1) find the solution t the non-homogenous DE y''-16y=3e5x , y(0)=1 , y'(0)=2 2)find the solution...

1) find the solution t the non-homogenous DE y''-16y=3e5x , y(0)=1 , y'(0)=2 2)find the solution to the DE using cauchy-euler method x2y''+7xy'+9y=0 , y(1)=2 , y'(1)=3 3)find the solution to the DE using Laplace y''+8y'+16y=0 , y(0)=-1 , y'(0)=8

y"+y'-6y=1 1. general solution of corresponding homogenous equation 2. particular solution 3.solution of initial value problem...

y"+y'-6y=1 1. general solution of corresponding homogenous equation 2. particular solution 3.solution of initial value problem with initial conditions y(0)=y'(0)=0

find a particular solution to y"-2y'+y=-12.5e^t

Find the particular solution: y″−4y′+4y=(−11.5e^(2t))/(t^(2)+1)

Find a particular solution to y''+6y'+9y=(-18.5e^(-3t))/(t^2+1)

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

Question

Find a particular solution to the following non homogenous equations 1) y''' + y = t^3...

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