Internal problem ID [14633]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.4, page 163
Problem number: 63 (b).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]
\[ \boxed {4 t^{2} y^{\prime \prime }+4 y^{\prime } t +\left (16 t^{2}-1\right ) y=16 t^{\frac {3}{2}}} \] With initial conditions \begin {align*} \left [y \left (\pi \right ) = 0, y \left (\frac {3 \pi }{2}\right ) = 0\right ] \end {align*}
✗ Solution by Maple
dsolve([4*t^2*diff(y(t),t$2)+4*t*diff(y(t),t)+(16*t^2-1)*y(t)=16*t^(3/2),y(Pi) = 0, y(3/2*Pi) = 0],y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{4*t^2*y''[t]+4*t*y'[t]+(16*t^2-1)*y[t]==16*t^(3/2),{y[Pi]==0,y[3*Pi/2]==0}},y[t],t,IncludeSingularSolutions -> True]
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