4.43 problem 43

Internal problem ID [14201]

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.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {-\cos \left (y\right ) y^{\prime }=-1} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}

Solution by Maple

Time used: 0.078 (sec). Leaf size: 13

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

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

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

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

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