Internal problem ID [14659]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.5, page 175
Problem number: 40.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-2 y^{\prime \prime }=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1, y^{\prime }\left (0\right ) = 2, y^{\prime \prime }\left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve([diff(y(t),t$3)-2*diff(y(t),t$2)=0,y(0) = 1, D(y)(0) = 2, (D@@2)(y)(0) = 0],y(t), singsol=all)
\[ y \left (t \right ) = 2 t +1 \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 10
DSolve[{y'''[t]-2*y''[t]==0,{y[0]==1,y'[0]==2,y''[0]==0}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 2 t+1 \]