3.7.15 Problems 1401 to 1500

Table 3.481: Solved using series method

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ODE

Mathematica

Maple

13943

yy2=0

13944

y+cos(y)=0

13945

yexy=0

13946

ytan(x)y=0

13947

sin(x)y+x2yexy=0

13948

sinh(x)y+x2yexy=0

13949

sinh(x)y+x2yysin(x)=0

13950

e3xy+ysin(x)+2yx2+4=0

13951

y+(1+ex)yex+1=0

13952

(x24)y+(x2+x6)y=0

13953

xy+(ex+1)y=0

13954

sin(πx2)y+x2y=0

13955

yexy=0

13956

y+e2xy=0

13957

y+cos(x)y=0

13958

y+yln(x)=0

13959

yexy=0

13960

y+3xyexy=0

13961

xy3xy+ysin(x)=0

13962

y+yln(x)=0

13963

xy+y=0

13964

y+(6x2+2x+1)y+(2+12x)y=0

13965

yexy=0

13966

y+x2+1y=0

13967

cos(x)y+y=0

13968

y+2x2+1y=0

13969

yexy=0

13970

y+cos(x)y=0

13971

y+ysin(x)+cos(x)y=0

13972

xy+y+xy=0

13973

(x3)2y2(x3)y+2y=0

13974

2x2y+5xy+y=0

13975

(1+x)2y5(1+x)y+9y=0

13976

(2+x)2y+(2+x)y=0

13977

3(2+x)2y4(x5)y+2y=0

13978

(x5)2y+(x5)y+4y=0

13979

x2y+xy2+x+2y2+x=0

13980

x3y+x2y+y=0

13981

(x4+x3)y+(3x1)y+827y=0

13982

y+yx3+yx4=0

13983

y+y(x3)2+y(x4)2=0

13984

y+(1x13)y+(1x14)y=0

13985

(4x21)y+(42x)y+(x2+1)yx2+1=0

13986

(x2+4)2y+y=0

13987

x2y2xy+(x2+2)y=0

13988

4x2y+(14x)y=0

13989

x2y+xy+(4x4)y=0

13990

(9x4+x2)y6xy+10y=0

13991

x2yxy+y1x=0

13992

y+yx+y=0

13993

y+yx+(11x2)y=0

13994

2x2y+(2x3+5x)y+(x2+1)y=0

13995

x2y(2x2+5x)y+(9+4x)y=0

13996

(3x3+3x2)y(5x2+4x)y+2y=0

13997

x2y(x2+x)y+4xy=0

13998

4x2y+8x2y+y=0

13999

x2y+(x4+x)y+3x3y=0

14000

(9x3+9x2)y+(27x2+9x)y+(8x1)y=0

14001

(x3)y+(x3)y+y=0

14002

y+2y2+x+y=0

14003

4y+(4x3)y(1+x)2=0

14004

(x3)2y+(x23x)y3y=0

14005

x2y2xy+(x2+2)y=0

14006

x2y2x2y+(x22)y=0

14007

y+yx+y=0

14008

x2(x2+2)y+(4x2+5x)y+(x2+1)y=0

14009

x2y(2x2+5x)y+9y=0

14010

x2(2x+1)y+xy+(4x34)y=0

14011

4x2y+8xy+(14x)y=0

14012

x2y+xy(2x+1)y=0

14013

xy+4y+12y(2+x)2=0

14014

xy+4y+12y(2+x)2=0

14015

(x3)y+(x3)y+y=0

14016

(x2+1)yxy+3y=0

14017

4x2y+(14x)y=0

14018

y+yx+y=0

14019

x2y(x2+x)y+4xy=0

14020

x2y+xy+(4x4)y=0

14777

x2y2xy+7y=0

14778

(2+x)y+yy=0

14779

(x24)y+16(2+x)yy=0

14780

y+3y18y=0

14781

y11y+30y=0

14782

y+y=0

14783

yy2y=ex

14784

(22x)y+2y+4y=0

14785

(2+3x)y+3xy=0

14786

(3x+1)y3y2y=0

14787

(x2+2)y+2(1+x)y+4y=0

14788

yxy+4y=0

14789

(2x2+2)y+2xy3y=0

14790

(32x)y+2y2y=0

14791

y4x2y=0

14792

(2x21)y+2xy3y=0

14793

y+xy=sin(x)

14794

y+y+xy=cos(x)

14795

y+(y21)y+y=0

14796

y+(y231)y+y=0

14797

y2xy+2y=0

14798

y2xy+6y=0