83.48.17 problem Ex 17 page 112

Internal problem ID [19609]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Book Solved Excercises. Chapter VII. Exact differential equations.
Problem number : Ex 17 page 112
Date solved : Tuesday, January 28, 2025 at 02:04:08 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime }-y y^{\prime \prime }&=n \sqrt {{y^{\prime }}^{2}+a^{2} y^{\prime \prime }} \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x)-y(x)*diff(y(x),x$2)=n*sqrt( diff(y(x),x)^2 + a^2*diff(y(x),x$2) ),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],x]-y[x]*D[y[x],{x,2}]==n*Sqrt[ D[y[x],x]^2 + a^2*D[y[x],{x,2}] ],y[x],x,IncludeSingularSolutions -> True]
 

Not solved