Internal problem ID [13278]
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 iii).
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 ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve([diff(y(x),x)=3*sqrt(x+3),y(1) = 0],y(x), singsol=all)
\[ y \left (x \right ) = -16+\left (2 x +6\right ) \sqrt {x +3} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 16
DSolve[{y'[x]==3*Sqrt[x+3],{y[1]==0}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2 \left ((x+3)^{3/2}-8\right ) \]