77.1.153 problem 180 (page 297)

Internal problem ID [18043]
Book : V.V. Stepanov, A course of differential equations (in Russian), GIFML. Moscow (1958)
Section : All content
Problem number : 180 (page 297)
Date solved : Tuesday, January 28, 2025 at 11:23:23 AM
CAS classification : [NONE]

\begin{align*} y^{\prime \prime }&=x +y^{2} \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=1 \end{align*}

✗ Solution by Maple

dsolve([diff(y(x),x$2)=y(x)^2+x,y(0) = 0, D(y)(0) = 1],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{D[y[x],{x,2}]==y[x]^2+x,{y[0]==0,Derivative[1][y][0] == 1}},y[x],x,IncludeSingularSolutions -> True]
 

Not solved