73.7.35 problem 35

Internal problem ID [15193]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 8. Review exercises for part of part II. page 143
Problem number : 35
Date solved : Tuesday, January 28, 2025 at 07:41:32 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 22

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

\[ y = \frac {2 x^{3}+3 x^{2}+c_{1}}{\left (x +1\right )^{2}} \]

✓ Solution by Mathematica

Time used: 0.042 (sec). Leaf size: 24

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

\[ y(x)\to \frac {2 x^3+3 x^2+c_1}{(x+1)^2} \]