Internal problem ID [2577]
Book: Differential equations with applications and historial notes, George F. Simmons,
1971
Section: Chapter 2, section 7, page 37
Problem number: 3.b.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, `class C`], _dAlembert]
\[ \boxed {y^{\prime }-\sin \left (1+x -y\right )^{2}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 13
dsolve(diff(y(x),x)=sin(x-y(x)+1)^2,y(x), singsol=all)
\[ y \left (x \right ) = x +1+\arctan \left (c_{1} -x \right ) \]
✓ Solution by Mathematica
Time used: 0.338 (sec). Leaf size: 33
DSolve[y'[x]==Sin[x-y[x]+1]^2,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}[2 y(x)-2 (\tan (-y(x)+x+1)-\arctan (\tan (-y(x)+x+1)))=c_1,y(x)] \]