Internal problem ID [3]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.2. Integrals as general and particular solutions. Page 16
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-\sqrt {x}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (4) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 11
dsolve([diff(y(x),x) = x^(1/2),y(4) = 0],y(x), singsol=all)
\[ y \relax (x ) = \frac {2 x^{\frac {3}{2}}}{3}-\frac {16}{3} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 16
DSolve[{y'[x] == x^(1/2),y[4]==0},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2}{3} \left (x^{3/2}-8\right ) \\ \end{align*}