Question

In: Advanced Math

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)

Solutions

Expert Solution

Following the method of variation of parameters. I first found fundamental solution to its homogenous equation. And then using Wronskian I found particular solution to the given differential equation.


Related Solutions

Use the Method of Variation of Parameters to determine the general solution of the differential equation...
Use the Method of Variation of Parameters to determine the general solution of the differential equation y'''-y'=3t
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)= ___
Use the method of variation of parameters to find a particular solution of the differential equation...
Use the method of variation of parameters to find a particular solution of the differential equation 4 y′′−4 y′+y=32et2 Y(t)=   
Use the method of variation of parameters to find the complete solution of the differential equation...
Use the method of variation of parameters to find the complete solution of the differential equation d2y/ dx2 + 4 dy /dx + 4y = e −2x ln(x), x > 0.
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 variation of parameters to determine the general solution of the given differential...
Use the method of variation of parameters to determine the general solution of the given differential equation. y′′′−2y′′−y′+2y=e^(8t)
Find a particular solution to the following differential equation using the method of variation of parameters....
Find a particular solution to the following differential equation using the method of variation of parameters. x2y′′ − 11xy′ + 20y  =  x2 ln x
Use the method of variation of parameters to find a particular solution of the given differential...
Use the method of variation of parameters to find a particular solution of the given differential equation and then find the general solution of the ODE. y'' + y = tan(t)
Using method of variation of parameters, solve the differential equation: y''+y'=e^(2x) Find the general solution, and...
Using method of variation of parameters, solve the differential equation: y''+y'=e^(2x) Find the general solution, and particular solution using this method.
Use variation of parameters to find a general solution to the following differential equations. (a) y′′+y=tant,...
Use variation of parameters to find a general solution to the following differential equations. (a) y′′+y=tant, 0<t<π/2. (b) y′′−2y′+y=et/(1+t2).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT