8.6 problem 17

Internal problem ID [13034]

Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Review Exercises for chapter 1. page 136
Problem number: 17.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [`x=_G(y,y')`]

\[ \boxed {y^{\prime }-\left (y-3\right ) \left (\sin \left (y\right ) \sin \left (t \right )+\cos \left (t \right )+1\right )=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 4] \end {align*}

✗ Solution by Maple

dsolve([diff(y(t),t)= (y(t)-3)*( sin(y(t))*sin(t)+cos(t)+1),y(0) = 4],y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{y'[t]==(y[t]-3)*( Sin[y[t]]*Sin[t]+Cos[t]+1),{y[0]==4}},y[t],t,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved