Internal problem ID [13807]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number: 1 (c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-y=\frac {1}{1-t}} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}
✗ Solution by Maple
dsolve([diff(y(t),t)=y(t)+1/(1-t),y(1) = 0],y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[t]==y[t]+1/(1-t),{y[1]==0}},y[t],t,IncludeSingularSolutions -> True]
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