75.4.23 problem 88

Internal problem ID [16725]
Book : A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section : Section 4. Equations with variables separable and equations reducible to them. Exercises page 38
Problem number : 88
Date solved : Tuesday, January 28, 2025 at 09:19:39 AM
CAS classification : [_quadrature]

\begin{align*} \ln \left (y^{\prime }\right )&=x \end{align*}

✓ Solution by Maple

Time used: 0.036 (sec). Leaf size: 8

dsolve(ln(diff(y(x),x))=x,y(x), singsol=all)
 

\[ y = c_{1} +{\mathrm e}^{x} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 11

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

\[ y(x)\to e^x+c_1 \]