Internal problem ID [13310]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page
90
Problem number: 4.4 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-y^{2}=9} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 14
dsolve(diff(y(x),x)=y(x)^2+9,y(x), singsol=all)
\[ y \left (x \right ) = 3 \tan \left (3 c_{1} +3 x \right ) \]
✓ Solution by Mathematica
Time used: 0.199 (sec). Leaf size: 28
DSolve[y'[x]==y[x]^2+9,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 3 \tan (3 (x+c_1)) \\ y(x)\to -3 i \\ y(x)\to 3 i \\ \end{align*}