Question
In: Advanced Math
use the method of undetermined cofficients to find the the general solution of the following differential...
use the method of undetermined cofficients to find the the general solution of the following differential equations. verify your solution by using dsolve in matlab.
1) y'' + 4y' + 3y =x + 1
2) y" + 2y' +2y = 2x^2 + 2x + 4
Solutions
Colby Messinger answered 8 months agoRelated Solutions
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
Use method of undetermined coefficients to find a particular solution of the differential equation ?′′ +...
Use method of undetermined coefficients to find a particular
solution of the differential equation ?′′ + 9? = cos3? + 2. Check
that the obtained particular solution satisfies the differential
equation.
Use the method of undetermined coefficients to find the complete solutions of the following differential equations....
Use the method of undetermined coefficients to find the complete
solutions of the following differential equations.
d2y/dx2 − 3 dy/dx + 2y = 2x2 +
ex + 2xex + 4e3x .
Use the method of variation of parameters to find the general solution of the differential equation...
Use the method of variation of parameters to find the general
solution of the differential equation
y''+6y'+5y = 7e^(2x)
Find the general solution y(t) to the following ODE using (a) Method of Undetermined Coefficients AND...
Find the general solution y(t) to the following ODE using (a)
Method of Undetermined Coefficients AND (b) Variation of
Parameters:
2y"-y'+5y = cos(t) - et Sin(t)
a) Using the method of undetermined coefficients, find the general solution of yʺ + 4yʹ −...
a) Using the method of undetermined coefficients, find the
general solution of yʺ + 4yʹ −
5y = e^−4x
b) Solve xy'=(x+1)y^2
c) Solve the initial value problem :
(x−1)yʹ+3y= 1/ (x-1)^2 + sinx/(x-1)^2 ,
y(0)=3
Use the method of variation of parameters to determine the general solution to the following differential...
Use the method of variation of parameters to determine the
general solution to the following differential equation:
y'''-y''+y'-y=e-tsint
Use the method of Undetermined Coefficients to find a general solution of this system X=(x,y)^T Show...
Use the method of Undetermined Coefficients to find a general
solution of this system X=(x,y)^T
Show the details of your work:
x' = 6 y + 9 t
y' = -6 x + 5
Note answer is: x=A cos 4t + B sin 4t +75/36; y=B cos
6t - A sin 6t -15/6 t
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
y''+2y'+5y=3sin(2t)
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
Use Method of Undetermined Coefficients te find a particular solution of the non-homogeneous equation. Find general solution of the non-homogeneous equation.
y''+4y=3csc2t
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