Internal problem ID [13266]
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: 2.4 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {\left (x +6\right )^{\frac {1}{3}} y^{\prime }=1} \] With initial conditions \begin {align*} [y \left (2\right ) = 10] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 13
dsolve([(x+6)^(1/3)*diff(y(x),x)=1,y(2) = 10],y(x), singsol=all)
\[ y \left (x \right ) = \frac {3 \left (x +6\right )^{\frac {2}{3}}}{2}+4 \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 18
DSolve[{(x+6)^(1/3)*y'[x]==1,{y[2]==10}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {3}{2} (x+6)^{2/3}+4 \]