Internal problem ID [15005]
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: 98.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-2 x \left (\pi +y\right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(y(x),x)=2*x*(Pi+y(x)),y(x), singsol=all)
\[ y = -\pi +c_{1} {\mathrm e}^{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 24
DSolve[y'[x]==2*x*(Pi+y[x]),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\pi +c_1 e^{x^2} \\ y(x)\to -\pi \\ \end{align*}