The analytical solution of the initial value problem of ordinary differential equation (1+x 2) y'' = 2xy' can be obtained by the dsolve () function.

Implementation code

syms y(x)，D2y=diff(y，2)； Dy=diff(y， 1)；

"Analytical solutions of ordinary differential equations"

y=dsolve(( 1+x^2)*d2y==2*x*dy,y(0)== 1,dy(0)==3)