2.17 problem 37

Internal problem ID [14964]

Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 2. The method of isoclines. Exercises page 27
Problem number: 37.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }=1} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 7

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

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

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 9

DSolve[y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
 

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