67.2.31 problem Problem 5(e)

Internal problem ID [13988]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number : Problem 5(e)
Date solved : Tuesday, January 28, 2025 at 06:11:06 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} \sin \left (x \right ) y^{\prime \prime }+x y^{\prime }+7 y&=1 \end{align*}

With initial conditions

\begin{align*} y \left (1\right )&=1\\ y^{\prime }\left (1\right )&=0 \end{align*}

✗ Solution by Maple

dsolve([sin(x)*diff(y(x),x$2)+x*diff(y(x),x)+7*y(x)=1,y(1) = 1, D(y)(1) = 0],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{Sin[x]*D[y[x],{x,2}]+x*D[y[x],x]+7*y[x]==1,{y[1]==1,Derivative[1][y][1]==0}},y[x],x,IncludeSingularSolutions -> True]
 

Not solved