83.43.1 problem Ex 2 page 7

Internal problem ID [19509]
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 II. Equations of first order and first degree
Problem number : Ex 2 page 7
Date solved : Tuesday, January 28, 2025 at 01:47:08 PM
CAS classification : [_separable]

\begin{align*} y-x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 7

dsolve(y(x)-x*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = c_{1} x \]

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 14

DSolve[y[x]-x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 x \\ y(x)\to 0 \\ \end{align*}