2.31 problem Problem 5(e)

Internal problem ID [12252]

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).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]

\[ \boxed {\sin \left (x \right ) y^{\prime \prime }+y^{\prime } x +7 y=1} \] 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: 0.0 (sec). Leaf size: 0

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

Not solved