> dsolve( diff( y(x),x,x ) + diff( y(x),x ) - 6*y(x)=0, y(x) );

> dsolve( diff( y(x),x,x,x,x ) + 6*diff( y(x), x,x,x ) + 5*diff(y(x),x,x) -24*diff( y(x),x ) -36*y(x)=0, y(x) );

> dsolve( diff( y(x),x,x,x ) + 4*diff( y(x),x )=0, y(x) );

> dsolve( diff( y(x),x,x ) -4*y(x) = x^2*exp(3*x), y(x) );

> dsolve( diff( y(x),x,x ) +5*diff( y(x),x ) + 4*y(x) = 3 - 2*x, y(x) );

> dsolve( diff( y(x),x,x ) - 4*diff( y(x),x ) + 4*y(x) = x^3*exp(2*x) + x*exp(2*x), y(x) );

> dsolve( diff( y(x),x,x ) + 4*y(x) = x^2*sin(2*x), y(x) );

> dsolve( 2*diff( y(x),x,x ) + 2*diff( y(x),x ) + 3*y(x) = x^2+2*x -1, y(x) );

> dsolve( diff( y(x),x,x,x ) - 3*diff( y(x),x,x ) - 6*diff( y(x),x ) + 8*y(x) = x*exp(-3*x), y(x) );

> dsolve( diff( y(x),x,x,x,x ) + 2*diff( y(x),x,x,x ) -3*diff( y(x),x,x ) = x^2 + 3*exp(2*x) + 4*sin(x), y(x) );

>