3.5.19 Problems 1801 to 1900

Table 3.437: Second ODE non-homogeneous ODE




#

ODE

Mathematica

Maple





14853

y+9y+20y=2tet





14854

y+7y+12y=3t2e4t





14863

y4y=t





14864

y+3y4y=et





14865

y+9y=sin(3t)





14866

y+y=cos(t)





14867

y+4y=tan(2t)





14868

y+y=csc(t)





14869

y8y+16y=e4tt3





14870

y8y+16y=e4tt3





14871

y2y+y=etln(t)





14872

y2y+y=etln(t)





14883

x2y7xy+15y=8x





14892

t(yy+y2)+yy=1





14909

x+x={10t<π0πt





14910

x+x={cos(t)0t<π0πt





14911

x+x={t0t<12t1t<202t





14912

x+4x+13x={10t<π1tπt<2π02πt





14913

x+x=cos(t)





14914

x+x=cos(t)





14915

x+x=cos(9t10)





14916

x+x=cos(7t10)





14917

x+x10+x=3cos(2t)





14932

x+16x=tsin(t)





14933

x+x=et





15176

y+y=2cos(x)+2sin(x)





15179

(1+x)y=1





15182

y3y+2y=2





15184

y2+yy=1





15187

y(2+x)5=1





15188

y=xex





15189

y=2xln(x)





15193

xy=y+x2





15202

y=1+y2





15205

y+y+2=0





15215

yy=1+y2





15216

2yy=1+y2





15217

y3y=1





15244

y+3y=3





15245

y7y=(1+x)2





15246

y+3y=ex





15247

y+7y=e7x





15248

y8y+16y=(1x)e4x





15249

y10y+25y=e5x





15250

4y3y=xe3x4





15251

y4y=xe4x





15252

y+25y=cos(5x)





15253

y+y=sin(x)cos(x)





15254

y+16y=sin(4x+α)





15255

y+4y+8y=e2x(sin(2x)+cos(2x))





15256

y4y+8y=e2x(sin(2x)cos(2x))





15257

y+6y+13y=e3xcos(2x)





15258

y+k2y=ksin(kx+α)





15259

y+k2y=k





15280

y+2y+y=2





15281

y+2y=2





15282

y+9y=9





15288

y4y+4y=x2





15289

y+8y=8x





15290

y2ky+k2y=ex





15291

y+4y+4y=8e2x





15292

y+4y+3y=9e3x





15293

7yy=14x





15294

y+3y=3xe3x





15295

y+5y+6y=10(1x)e2x





15296

y+2y+2y=1+x





15297

y+y+y=(x2+x)ex





15298

y+4y2y=8sin(2x)





15299

y+y=4xcos(x)





15300

y2my+m2y=sin(nx)





15301

y+2y+5y=sin(2x)ex





15302

y+a2y=2cos(mx)+3sin(mx)





15303

yy=exsin(x)





15304

y+2y=4(cos(x)+sin(x))ex





15305

y+4y+5y=10cos(x)e2x





15306

4y+8y=xsin(x)





15307

y3y+2y=xex





15308

y+y2y=x2e4x





15309

y3y+2y=(x2+x)e3x





15312

y2y+y=x3





15314

y+y=x2sin(x)





15315

y+2y+y=x2excos(x)





15319

y4y+5y=e2x(sin(x)+2cos(x))





15320

yy2y=ex+e2x





15321

y+4y=x+e4x





15322

yy=sin(x)+x





15323

y2y+2y=(sin(x)+1)ex





15326

y+4y=sin(2x)sin(x)





15327

y4y=2cos(4x)2





15328

yy2y=4x2ex





15329

y3y=18x10cos(x)





15330

y2y+y=2+exsin(x)





15331

y+2y+2y=(5x+4)ex+ex





15332

y+2y+5y=4ex+17sin(2x)





15333

2y3y2y=5excosh(x)





15334

y+4y=xsin(x)2





15336

y+y=cos(x)2+ex+x2





15338

y2y+5y=10sin(x)+17sin(2x)





15339

y+y=x2ex+ex





15340

y2y3y=2x+ex2e3x