60.1.432 problem 434

Internal problem ID [10446]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 434
Date solved : Monday, January 27, 2025 at 07:45:28 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }-1&=0 \end{align*}

✓ Solution by Maple

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

dsolve(diff(y(x),x)-1 = 0,y(x), singsol=all)
 

\[ y = x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.078 (sec). Leaf size: 45

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

\begin{align*} y(x)\to x \sinh (-\log (x)+c_1) \\ y(x)\to x \sinh (\log (x)+c_1) \\ y(x)\to -i x \\ y(x)\to i x \\ \end{align*}