Internal problem ID [13277]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.6 (b ii).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=3 \sqrt {x +3}} \] With initial conditions \begin {align*} [y \left (1\right ) = 20] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve([diff(y(x),x)=3*sqrt(x+3),y(1) = 20],y(x), singsol=all)
\[ y \left (x \right ) = 4+\left (2 x +6\right ) \sqrt {x +3} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 16
DSolve[{y'[x]==3*Sqrt[x+3],{y[1]==20}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2 \left ((x+3)^{3/2}+2\right ) \]