Internal problem ID [12393]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.4.4, page 115
Problem number: 7 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }+\frac {3 x^{2}}{2 y}=0} \] With initial conditions \begin {align*} \left [y \left (-1\right ) = {\frac {1}{2}}\right ] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve([diff(y(x),x)=-3*x^2/(2*y(x)),y(-1) = 1/2],y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sqrt {-4 x^{3}-3}}{2} \]
✓ Solution by Mathematica
Time used: 0.07 (sec). Leaf size: 20
DSolve[{y'[x]==-3*x^2/(2*y[x]),{y[-1]==1/2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} \sqrt {-4 x^3-3} \]