3.1.23 Problems 2201 to 2300

Table 3.45: First order ode

#

ODE

Mathematica

Maple

4079

5y2+3xyy=0

4080

5y2+6xy2y=0

4081

9y2+3y4yx+y5=0

4082

xy2=a

4083

xy2=x2+a

4084

xy2=y

4085

xy2+x2y=0

4086

xy2+y=y

4087

xy2+2yy=0

4088

xy22yy=0

4089

xy2+4y2y=0

4090

xy2+xyy=0

4091

xy2(x2+1)y+x=0

4092

xy2+yy+a=0

4093

xy2yy+a=0

4094

xy2yy+ax=0

4095

xy2+yy+x3=0

4096

xy2yy+ay=0

4097

xy2+yyy4=0

4098

xy2+(y+a)y+b=0

4099

xy2+(xy)y+1y=0

4100

xy2+(a+xy)yy=0

4101

xy2(3xy)y+y=0

4102

xy2+a+bxyby=0

4103

xy22yy+a=0

4104

xy22yy+ax=0

4105

xy22yy+x+2y=0

4106

xy23yy+9x2=0

4107

xy2(2x+3y)y+6y=0

4108

xy2ayy+b=0

4109

xy2+ayy+bx=0

4110

xy2(xy+1)y+y=0

4111

xy2+y(1x)yy2=0

4112

xy2+(1x2y)yxy=0

4113

(1+x)y2=y

4114

(1+x)y2(x+y)y+y=0

4115

(x+a)y2+yyb=0

4116

2xy2+(2xy)y+1y=0

4117

3xy26yy+x+2y=0

4118

(3x+1)y23(y+2)y+9=0

4119

(3x+5)y2(3+3y)y+y=0

4120

4xy2=(a3x)2

4121

4xy2+2xyy=0

4122

4xy23yy+3=0

4123

4xy2+4yy=1

4124

4xy2+4yyy4=0

4125

4(2x)y2+1=0

4126

16xy2+8yy+y6=0

4127

x2y2=a2

4128

x2y2=y2

4129

x2y2+x2y2=0

4130

x2y2=(xy)2

4131

x2y2+y2y4=0

4132

x2y2xy+y(1y)=0

4133

x2y2+2axy+a2+x22ay=0

4134

x2y22xyyx+y(y+1)=0

4135

x2y22xyyx4+(x2+1)y2=0

4136

x2y2(2xy+1)y+1+y2=0

4137

x2y2(a+2xy)y+y2=0

4138

x2y2x(x2y)y+y2=0

4139

x2y2+2x(y+2x)y4a+y2=0

4140

x2y2+x(x32y)y(2x3y)y=0

4141

x2y2+3xyy+2y2=0

4142

x2y23xyy+x3+2y2=0

4143

x2y2+4xyy5y2=0

4144

x2y24x(y+2)y+4(y+2)y=0

4145

x2y25xyy+6y2=0

4146

x2y2+x(x2+xy2y)y+(1x)(x2y)y=0

4147

x2y2+(y+2x)yy+y2=0

4148

x2y2+(2xy)yy+y2=0

4149

x2y2+(a+bx2y3)y+aby3=0

4150

(x2+1)y2=1y2

4151

(x2+1)y2+2xyy+4x2=0

4152

(a2+x2)y2=b2

4153

(a2x2)y2+b2=0

4154

(a2x2)y2=b2

4155

(a2x2)y2=x2

4156

(a2x2)y2+2xyy+x2=0

4157

(a2x2)y22xyyy2=0

4158

(a2+x2)y22xyy+b+y2=0

4159

4x2y24xyy=8x3y2

4160

ax2y22axyy+a(a+1)x2+y2=0

4161

(a2+1)x2y22xyyx2a2+y2=0

4162

y2x3=a

4163

y2x3+xyy=0

4164

y2x3+x2yy+a=0

4165

x(x2+1)y22(x2+1)yy+x(1y2)=0

4166

4x(x+a)(bx)y2=(ab2x(a+b)+2x2)2

4167

x4y2xyy=0

4168

x4y2+2yyx34=0

4169

x4y2+y2yxy3=0

4170

x2(a2x2)y2+1=0

4171

3x4y2xyy=0

4172

4x5y2+12x4yy+9=0

4173

x6y22xy4y=0

4174

x8y2+3xy+9y=0

4175

yy2=a

4176

yy2=xa2

4177

yy2=e2x

4178

yy2+2axyay=0