Internal problem ID [14870]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number: 49.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {y^{\prime \prime }-8 y^{\prime }+16 y=\frac {{\mathrm e}^{4 t}}{t^{3}}} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y^{\prime }\left (0\right ) = 1] \end {align*}
✗ Solution by Maple
dsolve([diff(y(t),t$2)-8*diff(y(t),t)+16*y(t)=1/t^3*exp(4*t),y(0) = 0, D(y)(0) = 1],y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y''[t]-8*y'[t]+16*y[t]==1/t^3*Exp[4*t],{y[0]==0,y'[0]==1}},y[t],t,IncludeSingularSolutions -> True]
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