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y'''+y''+y=Sin[x];

y''+y'+y=ArcSin[x];

y''+y+y^2=0;

y''=y,y[0]==0,y'[0]=4;

y+x*y'=x,y[6]=2;

y'''[x]+2y''[x]-3y'[x]+y=x,y[0]=1,y[1]=2,y'[1]=2;

{x'+y'=2,x'-2y'=4}.

 

 

 

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  • , Enter. , x 2 + 3x + 1 = 0 x^2+3x-1=0 x2+3x-1=0. | x+1 | -10 |x+1|-1<=0
    , y''-2y+1=sinx
  • , . : x 2+ ax + 1 = 0 x - solve x^2+ax+1=0 for x.
  • , .

:

  • plot - .
  • factor - . : factor x^3-2x+1
    (x - 1)(x 2 + x + 1). .
  • expand - .
    : expand (x - 1)(x2+x+1) x 3 -2 x + 1
  • partial fractions -
  • minimize
  • maximize

, , :

  • , lim, , : x as x-> . , lim sin(x)/x as x->0 . x ,
    as x->infinity
  • derivative d/dx. second derivative d2/dx2.
  • integrate. , , : integrate 1/x^2 from x=1 to infinity
  • series
    : taylor series sinx at x=0 sin (x) x =0

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, . ShowSteps.

 

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