# Answer check for y'=y+2x y:=-2*x-2+c*exp(x); LHS:=diff(y,x); RHS:=y+2*x; simplify(LHS-RHS); # zero if it works ans:=-2*x-2+c*exp(x); de:=diff(Y(x),x)=Y(x)+2*x; odetest(Y(x)=ans,de,Y(x)); # zero if it works ?odetest