Third-order differential equation

[Muratti87]

A third-order differential equation is given;

ax^3 y''' + bx^2 y'' + cxy' + dy = f(x)

a)Generalize the method for the euler equation to the third-order equation
b)Find the general solution of the third order ordinary differential equation for the following coefficients and right hand side function, f(x);

a=1,b=2,c=3,d=4 and f(x)=ln(3x^2) + ln(x) + x^3 + 5

 

[gabbagabbahey]

A third-order differential equation is given;

ax^3 y''' + bx^2 y'' + cxy' + dy = f(x)

a)Generalize the method for the euler equation to the third-order equation
b)Find the general solution of the third order ordinary differential equation for the following coefficients and right hand side function, f(x);

a=1,b=2,c=3,d=4 and f(x)=ln(3x^2) + ln(x) + x^3 + 5

Hi Muratti, Welcome to PF!

As per forum rules, we require you to first show some attempt at the problem before we assist you.

 

[HallsofIvy]

Stating what is meant by "the method for the euler equation" would be helpful. I know two different methods. Which are you expected to use?>

 

[Muratti87]

Stating what is meant by "the method for the euler equation" would be helpful. I know two different methods. Which are you expected to use?>

Actually you can solve with the easiest way.Thanks .