Internal problem ID [2366]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 40, page 186
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-y^{2} x^{2}=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 0] \end {align*}
With the expansion point for the power series method at \(x = 1\).
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
Order:=5; dsolve([diff(y(x),x)=x^2*y(x)^2,y(1) = 0],y(x),type='series',x=1);
\[ y \left (x \right ) = 0 \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
AsymptoticDSolveValue[{y'[x]==x^2*y[x]^2,{y[1]==0}},y[x],{x,1,4}]
Not solved