74.4.43 problem 43

Internal problem ID [15936]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number : 43
Date solved : Tuesday, January 28, 2025 at 08:23:29 AM
CAS classification : [_quadrature]

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

With initial conditions

\begin{align*} y \left (0\right )&=2 \end{align*}

✓ Solution by Maple

Time used: 0.127 (sec). Leaf size: 13

dsolve([1=cos(y(x))*diff(y(x),x),y(0) = 2],y(x), singsol=all)
 

\[ y = \pi -\arcsin \left (x +\sin \left (2\right )\right ) \]

✗ Solution by Mathematica

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

DSolve[{1==Cos[y[x]]*D[y[x],x],{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
 

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