Internal problem ID [14472]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.1, page 141
Problem number: 46.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
\[ \boxed {y^{\prime \prime }+b \left (t \right ) y^{\prime }+c \left (t \right ) y=0} \] Given that one solution of the ode is \begin {align*} y_1 &= \frac {\sin \left (t \right )}{t^{2}} \end {align*}
✗ Solution by Maple
dsolve([diff(y(t),t$2)+b(t)*diff(y(t),t)+c(t)*y(t)=0,1/t^2*sin(t)],singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y''[t]+b[t]*y'[t]+c[t]*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
Not solved