1.66 problem 66

Internal problem ID [6357]

Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 66.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [NONE]

Solve \begin {gather*} \boxed {3 y y^{\prime \prime }-\sin \relax (x )=0} \end {gather*}

Solution by Maple

dsolve(3*y(x)*diff(y(x),x$2)=sin(x),y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[3*y[x]*y''[x]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved