Internal problem ID [14320]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number: 32.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {\frac {y}{t^{2}}-\frac {y^{\prime }}{t}=-1} \] With initial conditions \begin {align*} [y \left (2\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve([(1+y(t)/t^2)-1/t*diff(y(t),t)=0,y(2) = 1],y(t), singsol=all)
\[ y \left (t \right ) = t^{2}-\frac {3}{2} t \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 14
DSolve[{(1+y[t]/t^2)-1/t*y'[t]==0,{y[2]==1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to t^2-\frac {3 t}{2} \]