Question

In: Advanced Math

In Exercises 7–29 use variation of parameters to find a particular solution, given the solutions y1,...

In Exercises 7–29 use variation of parameters to find a particular solution, given the solutions y1, y2 of the complementary equation.

1.) 4xy'' + 2y' + y = sin sqrt(x); y1 = cos sqrt(x), y2 = sin sqrt(x)

2.)  x^2y''− 2xy' + (x^2 + 2)y = x^3 cos x; y1 = x cos x, y2 = x sinx

Please help!!! with explanation thank you very much only these two excersices from homework.

Solutions

Expert Solution

Please feel free to ask any query in the comment box and don't forget to rate if you like.


Related Solutions

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)
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 determine a particular solution to the given equation....
Use the method of variation of parameters to determine a particular solution to the given equation. y′′′+27y′′+243y′+729y=e^−9x yp(x)=?
Using variation of parameters, find a particular solution of the given differential equations: a.) 2y" +...
Using variation of parameters, find a particular solution of the given differential equations: a.) 2y" + 3y' - 2y = 25e-2t (answer should be: y(t) = 2e-2t (2e5/2 t - 5t - 2) b.) y" - 2y' + 2y = 6 (answer should be: y = 3 + (-3cos(t) + 3sin(t))et ) Please show work!
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 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)
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 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)
Use variation of parameters to find a particular solution to the variable coeff. differential equation: y''+(2/x)y'+y=(1/x)...
Use variation of parameters to find a particular solution to the variable coeff. differential equation: y''+(2/x)y'+y=(1/x) Also find a general solution to this equation.
Find a particular solution to y′′+4y′+4y=(e^−2x)/x^4 using variation of parameters yp= ?
Find a particular solution to y′′+4y′+4y=(e^−2x)/x^4 using variation of parameters yp= ?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT