2.2.23 Problems 2201 to 2300

Table 2.47: Main lookup table. Sorted sequentially by problem number.

#

ODE

CAS classification

Solved?

time (sec)

2201

y5y+4y=12ex+6ex+10cos(x)

[[_high_order, _linear, _nonhomogeneous]]

0.200

2202

y4y+11y14y+10y=ex(sin(x)+2cos(2x))

[[_high_order, _linear, _nonhomogeneous]]

1.015

2203

y+2y3y4y+4y=2ex(x+1)+e2x

[[_high_order, _linear, _nonhomogeneous]]

0.181

2204

y+4y=sinh(x)cos(x)cosh(x)sin(x)

[[_high_order, _linear, _nonhomogeneous]]

1.257

2205

y+5y+9y+7y+2y=ex(30+24x)e2x

[[_high_order, _linear, _nonhomogeneous]]

0.181

2206

y4y+7y6y+2y=ex(12x2cos(x)+2sin(x))

[[_high_order, _linear, _nonhomogeneous]]

0.951

2207

yyy+y=e2x(10+3x)

[[_3rd_order, _linear, _nonhomogeneous]]

0.123

2208

y+y2y=e3x(17x2+67x+9)

[[_3rd_order, _linear, _nonhomogeneous]]

0.134

2209

y6y+11y6y=e2x(3x24x+5)

[[_3rd_order, _linear, _nonhomogeneous]]

0.141

2210

y+2y+y=2ex(6x218x+7)

[[_3rd_order, _missing_y]]

0.139

2211

y3y+3yy=ex(x+1)

[[_3rd_order, _linear, _nonhomogeneous]]

0.125

2212

y2y+y=ex(3x29x+4)

[[_high_order, _linear, _nonhomogeneous]]

0.146

2213

y+2yy2y=e2x((232x)cos(x)+(89x)sin(x))

[[_3rd_order, _linear, _nonhomogeneous]]

0.273

2214

y3y+4y2y=ex((28+6x)cos(2x)+(1112x)sin(2x))

[[_high_order, _missing_y]]

0.353

2215

y4y+14y20y+25y=ex((2+6x)cos(2x)+3sin(2x))

[[_high_order, _linear, _nonhomogeneous]]

1.438

2216

y2y5y+6y=2ex(16x)
i.c.

[[_3rd_order, _linear, _nonhomogeneous]]

0.202

2217

yyy+y=ex(48x)
i.c.

[[_3rd_order, _linear, _nonhomogeneous]]

0.197

2218

4y3yy=ex2(23x)
i.c.

[[_3rd_order, _linear, _nonhomogeneous]]

0.203

2219

y+2y+2y+2y+y=ex(2012x)
i.c.

[[_high_order, _linear, _nonhomogeneous]]

0.167

2220

y+2y+y+2y=30cos(x)10sin(x)
i.c.

[[_3rd_order, _linear, _nonhomogeneous]]

0.676

2221

y3y+5y2y=2ex(cos(x)sin(x))
i.c.

[[_high_order, _missing_y]]

2.073

2222

x3y3x2y+6xy6y=2x

[[_3rd_order, _with_linear_symmetries]]

0.306

2223

4x3y+4x2y5xy+2y=30x2

[[_3rd_order, _with_linear_symmetries]]

0.341

2224

x3y+x2y2xy+2y=x2

[[_3rd_order, _exact, _linear, _nonhomogeneous]]

0.290

2225

16x4y+96x3y+72x2y24xy+9y=96x5/2

[[_high_order, _with_linear_symmetries]]

0.358

2226

x4y4x3y+12x2y24xy+24y=x4

[[_high_order, _with_linear_symmetries]]

0.335

2227

x4y+6x3y+2x2y4xy+4y=12x2

[[_high_order, _exact, _linear, _nonhomogeneous]]

0.329

2228

x3y2x2y+3xy3y=4x
i.c.

[[_3rd_order, _with_linear_symmetries]]

0.398

2229

x3y5x2y+14xy18y=x3
i.c.

[[_3rd_order, _with_linear_symmetries]]

0.397

2230

x3y6x2y+16xy16y=9x4
i.c.

[[_3rd_order, _with_linear_symmetries]]

0.418

2231

x3y+x2y2xy+2y=x(x+1)
i.c.

[[_3rd_order, _exact, _linear, _nonhomogeneous]]

0.333

2232

x4y+3x3yx2y+2xy2y=9x2
i.c.

[[_high_order, _exact, _linear, _nonhomogeneous]]

0.433

2233

4x4y+24x3y+23x2yxy+y=6x
i.c.

[[_high_order, _exact, _linear, _nonhomogeneous]]

0.461

2234

x4y+5x3y3x2y6xy+6y=40x3
i.c.

[[_high_order, _exact, _linear, _nonhomogeneous]]

0.359

2235

y+2yy2y=F(x)

[[_3rd_order, _linear, _nonhomogeneous]]

0.312

2236

x3y+x2y2xy+2y=F(x)

[[_3rd_order, _exact, _linear, _nonhomogeneous]]

0.315

2237

y5y+4y=F(x)

[[_high_order, _linear, _nonhomogeneous]]

0.343

2238

x4y+6x3y+2x2y4xy+4y=F(x)

[[_high_order, _exact, _linear, _nonhomogeneous]]

0.365

2239

[y1=y1+2y2y2=2y1+y2]

system_of_ODEs

0.461

2240

[y1=5y14+3y24y2=3y145y24]

system_of_ODEs

0.464

2241

[y1=4y15+3y25y2=2y1511y25]

system_of_ODEs

0.490

2242

[y1=y14y2y2=y1y2]

system_of_ODEs

0.477

2243

[y1=2y14y2y2=y1y2]

system_of_ODEs

0.484

2244

[y1=4y13y2y2=2y1y2]

system_of_ODEs

0.462

2245

[y1=6y13y2y2=y12y2]

system_of_ODEs

0.467

2246

[y1=y1y22y3y2=y12y23y3y3=4y1+y2y3]

system_of_ODEs

0.548

2247

[y1=6y14y28y3y2=4y14y3y3=8y14y26y3]

system_of_ODEs

0.445

2248

[y1=3y1+5y2+8y3y2=y1y22y3y3=y1y2y3]

system_of_ODEs

0.563

2249

[y1=y1y2+2y3y2=12y14y2+10y3y3=6y1+y27y3]

system_of_ODEs

0.497

2250

[y1=4y1y24y3y2=4y13y22y3y3=y1y2y3]

system_of_ODEs

0.521

2251

[y1=2y1+2y26y3y2=2y1+6y2+2y3y3=2y12y2+2y3]

system_of_ODEs

0.495

2252

[y1=3y1+2y22y3y2=2y1+7y22y3y3=10y1+10y25y3]

system_of_ODEs

0.424

2253

[y1=3y1+y2y3y2=3y1+5y2+y3y3=6y1+2y2+4y3]

system_of_ODEs

0.413

2254

[y1=3y1+4y2y2=y1+7y2]

system_of_ODEs

0.440

2255

[y1=y2y2=y12y2]

system_of_ODEs

0.433

2256

[y1=7y1+4y2y2=y111y2]

system_of_ODEs

0.458

2257

[y1=3y1+y2y2=y1+y2]

system_of_ODEs

0.448

2258

[y1=4y1+12y2y2=3y18y2]

system_of_ODEs

0.449

2259

[y1=10y1+9y2y2=4y1+2y2]

system_of_ODEs

0.453

2260

[y1=13y1+16y2y2=9y1+11y2]

system_of_ODEs

0.457

2261

[y1=2y2+y3y2=4y1+6y2+y3y3=4y2+2y3]

system_of_ODEs

0.425

2262

[y1=y13+y23y3y2=4y134y23+y3y3=2y13+y23]

system_of_ODEs

0.461

2263

[y1=y1+y2y3y2=2y1+2y3y3=y1+3y2y3]

system_of_ODEs

0.449

2264

[y1=4y12y22y3y2=2y1+3y2y3y3=2y1y2+3y3]

system_of_ODEs

0.451

2265

[y1=6y15y2+3y3y2=2y1y2+3y3y3=2y1+y2+y3]

system_of_ODEs

0.463

2266

[y1=11y1+8y2y2=2y13y2]
i.c.

system_of_ODEs

0.585

2267

[y1=15y19y2y2=16y19y2]
i.c.

system_of_ODEs

0.639

2268

[y1=3y14y2y2=y17y2]
i.c.

system_of_ODEs

0.561

2269

[y1=7y1+24y2y2=6y1+17y2]
i.c.

system_of_ODEs

0.582

2270

[y1=7y1+3y2y2=3y1y2]
i.c.

system_of_ODEs

0.550

2271

[y1=y1+y2y2=y1y22y3y3=y1y2y3]
i.c.

system_of_ODEs

0.505

2272

[y1=2y1+2y2+y3y2=2y1+2y2+y3y3=3y1+3y2+2y3]
i.c.

system_of_ODEs

0.412

2273

[y1=7y14y2+4y3y2=y1+y3y3=9y15y2+6y3]
i.c.

system_of_ODEs

0.829

2274

[y1=y14y2y3y2=3y1+6y2+y3y3=3y12y2+3y3]
i.c.

system_of_ODEs

0.485

2275

[y1=4y18y24y3y2=3y1y24y3y3=y1y2+9y3]
i.c.

system_of_ODEs

0.645

2276

[y1=5y1y2+11y3y2=7y1+y2+13y3y3=4y1+8y3]
i.c.

system_of_ODEs

0.425

2277

[y1=5y1y2+y3y2=y1+9y23y3y3=2y1+2y2+4y3]

system_of_ODEs

0.429

2278

[y1=y1+10y212y3y2=2y1+2y2+3y3y3=2y1y2+6y3]

system_of_ODEs

0.434

2279

[y1=6y14y24y3y2=2y1y2+y3y3=2y1+3y2+y3]

system_of_ODEs

0.427

2280

[y1=2y22y3y2=y1+5y23y3y3=y1+y2+y3]

system_of_ODEs

0.427

2281

[y1=2y112y2+10y3y2=2y124y2+11y3y3=2y124y2+8y3]

system_of_ODEs

0.533

2282

[y1=y112y2+8y3y2=y19y2+4y3y3=y16y2+y3]

system_of_ODEs

0.436

2283

[y1=4y1y3y2=y13y2y3y3=y12y3]

system_of_ODEs

0.374

2284

[y1=3y13y2+4y3y2=4y1+5y28y3y3=2y1+3y25y3]

system_of_ODEs

0.429

2285

[y1=3y1y2y2=y1y2y3=y1y22y3]

system_of_ODEs

0.375

2286

[y1=y1+2y2y2=5y1+5y2]

system_of_ODEs

0.549

2287

[y1=11y1+4y2y2=26y1+9y2]

system_of_ODEs

0.566

2288

[y1=y1+2y2y2=4y1+5y2]

system_of_ODEs

0.617

2289

[y1=5y16y2y2=3y1y2]

system_of_ODEs

0.547

2290

[y1=3y13y2+y3y2=2y2+2y3y3=5y1+y2+y3]

system_of_ODEs

9.546

2291

[y1=3y1+3y2+y3y2=y15y23y3y3=3y1+7y2+3y3]

system_of_ODEs

0.759

2292

[y1=2y1+y2y3y2=y2+y3y3=y1+y3]

system_of_ODEs

0.604

2293

[y1=3y1+y23y3y2=4y1y2+2y3y3=4y12y2+3y3]

system_of_ODEs

0.747

2294

y+sin(t)y=0
i.c.

[_separable]

0.464

2295

y+et2y=0
i.c.

[_separable]

0.408

2296

y2ty=t

[_separable]

0.251

2297

2ty+y=t
i.c.

[_separable]

0.460

2298

y+y=1t2+1
i.c.

[_linear]

0.572

2299

cos(t)y+y=0

[_separable]

2.009

2300

tsin(t)y+y=0

[_separable]

2.035