83.48.8 problem Ex 8 page 103

Internal problem ID [19600]
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 8 page 103
Date solved : Tuesday, January 28, 2025 at 02:01:21 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} y+3 x y^{\prime }+2 y {y^{\prime }}^{2}+\left (x^{2}+2 y^{2} y^{\prime }\right ) y^{\prime \prime }&=0 \end{align*}

✗ Solution by Maple

dsolve(y(x)+3*x*diff(y(x),x)+2*y(x)*diff(y(x),x)^2+(x^2+2*y(x)^2*diff(y(x),x))*diff(y(x),x$2)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[y[x]+3*x*D[y[x],x]+2*y[x]*D[y[x],x]^2+(x^2+2*y[x]^2*D[y[x],x])*D[y[x],{x,2}]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved