83.18.3 problem 3

Internal problem ID [19213]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter IV. Equations of the first order but not of the first degree. Exercise IV (A) at page 53
Problem number : 3
Date solved : Tuesday, January 28, 2025 at 01:13:50 PM
CAS classification : [_quadrature]

\begin{align*} {y^{\prime }}^{2}-9 y^{\prime }+18&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

dsolve(diff(y(x),x)^2-9*diff(y(x),x)+18=0,y(x), singsol=all)
 

\begin{align*} y \left (x \right ) &= 6 x +c_{1} \\ y \left (x \right ) &= 3 x +c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 21

DSolve[D[y[x],x]^2-9*D[y[x],x]+18==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 3 x+c_1 \\ y(x)\to 6 x+c_1 \\ \end{align*}