Answer Happy

In Problems 1-8, determine the first three nonzero terms in the Taylor polynomial approximations for the given initial value problem. 1. y′=x2+y2;y(0)=1 2. y′=y2;y(0)=2 3. y′=siny+ex;y(0)=0 4. y′=sin(x+y);y(0)=0 5. x′′+tx=0;x(0)=1,x′(0)=0 6. y′′+y=0;y(0)=0,y′(0)=1 7. y′′(θ)+y(θ)3=sinθ;