83.4.15 problem 15

Internal problem ID [19087]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter II. Equations of first order and first degree. Exercise II (C) at page 12
Problem number : 15
Date solved : Tuesday, January 28, 2025 at 12:53:24 PM
CAS classification : [[_homogeneous, `class C`], _rational, [_Abel, `2nd type`, `class A`]]

\begin{align*} \left (6 x -5 y+4\right ) y^{\prime }+y-2 x -1&=0 \end{align*}

✓ Solution by Maple

Time used: 0.616 (sec). Leaf size: 46

dsolve((6*x-5*y(x)+4)*diff(y(x),x)+(y(x)-2*x-1)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {\left (-4 x -1\right ) \operatorname {RootOf}\left (-3+\left (320 c_{1} x^{3}+240 c_{1} x^{2}+60 c_{1} x +5 c_{1} \right ) \textit {\_Z}^{4}-\textit {\_Z} \right )}{20}+\frac {2 x}{5}+\frac {3}{5} \]

✓ Solution by Mathematica

Time used: 60.149 (sec). Leaf size: 4977

DSolve[(6*x-5*y[x]+4)*D[y[x],x]+(y[x]-2*x-1)==0,y[x],x,IncludeSingularSolutions -> True]
 

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