Internal problem ID [14951]
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: 24.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+y=\frac {x}{2}+\frac {3}{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)=1/2*(x-2*y(x)+3),y(x), singsol=all)
\[ y \left (x \right ) = \frac {x}{2}+1+c_{1} {\mathrm e}^{-x} \]
✓ Solution by Mathematica
Time used: 0.057 (sec). Leaf size: 20
DSolve[y'[x]==1/2*(x-2*y[x]+3),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x}{2}+c_1 e^{-x}+1 \]