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UnitStep Function in ODE

• To: mathgroup at smc.vnet.net
• Subject: [mg47727] UnitStep Function in ODE
• From: Virgil Stokes <Virgil.Stokes at it.uu.se>
• Date: Sat, 24 Apr 2004 04:15:22 -0400 (EDT)
• Organization: Systems & Control
• Sender: owner-wri-mathgroup at wolfram.com

Why it this the following so hard for Mathematica 5.0.0

   c[t] = 0.2*UnitStep[20 - t];
   eqn = y'[t] == 10.0*c[t] - 0.01*y[t]
   DSolve[{eqn, y[0] == y0}, y[t], t] // FullSimplify

--V. Stokes