Current location - Training Enrollment Network - Mathematics courses - Problems of second-order linear differential equations in advanced mathematics
Problems of second-order linear differential equations in advanced mathematics
According to the structural theory of linear homogeneous differential equation, the homogeneous general solution is y = c1x+c2x 2.

The homogeneous linear differential equation whose solution is y = x and y = x^2 is y'-(2/x) y'+(2/x 2) y = 0.

According to the structure theory of linear nonhomogeneous differential equations, the general solution of nonhomogeneous differential equations is y = c1x+c2x 2+e x x.

The nonhomogeneous linear differential equation is y'-(2/x) y'+(2/x 2) y = e x * (x 2-2 * x+2)/x 2.