55.1.7 problem HW 1 problem 13

Internal problem ID [8703]
Book : Selected problems from homeworks from different courses
Section : Math 2520, summer 2021. Differential Equations and Linear Algebra. Normandale college, Bloomington, Minnesota
Problem number : HW 1 problem 13
Date solved : Monday, January 27, 2025 at 04:19:47 PM
CAS classification : [_exact]

\begin{align*} y^{2}+\cos \left (x \right )+\left (2 y x +\sin \left (y\right )\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.026 (sec). Leaf size: 18

dsolve((y(x)^2+cos(x))+(2*x*y(x)+sin(y(x)))*diff(y(x),x)=0,y(x), singsol=all)
 

\[ x y^{2}+\sin \left (x \right )-\cos \left (y\right )+c_{1} = 0 \]

✓ Solution by Mathematica

Time used: 0.206 (sec). Leaf size: 20

DSolve[(y[x]^2+Cos[x])+(2*x*y[x]+Sin[y[x]])*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ \text {Solve}\left [x y(x)^2-\cos (y(x))+\sin (x)=c_1,y(x)\right ] \]