HOW TO SOLVE THIS FUNCTION?

how to solvethis problem by matlab?thanks

y'=-2y+2x^2+2x y(0)=1

y(0.5)=??

Answer 1

[Andrei Bobrov]

Please read about dsolve :

doc dsolve

Your case:

syms x y(x)

yy = dsolve(diff(y) == -2*y + 2*x^2 + 2*x, y(0) == 1);

out = vpa(subs(yy,x,.5))