Internal problem ID [12343]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.1, page 57
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=2 \sin \left (x \right )} \] With initial conditions \begin {align*} [y \left (\pi \right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve([diff(y(x),x)=2*sin(x),y(Pi) = 1],y(x), singsol=all)
\[ y \left (x \right ) = -2 \cos \left (x \right )-1 \]
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 11
DSolve[{y'[x]==2*Sin[x],{y[Pi]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -2 \cos (x)-1 \]