### Home > CALC > Chapter 12 > Lesson 12.2.1 > Problem12-72

12-72.

What is the solution to the differential equation $y^2 · y^\prime − \operatorname{cos} x = 0$ with initial condition $y(0) = 3$?

1. $y = (3\operatorname{sin} x − \operatorname{sin} 3)^{\frac{1}{3}}$

1. $y = (3 \operatorname{sin} x)^{\frac{1}{3}}$

1. $y = \sqrt { \operatorname { sin } x }$

1. $y = (3\operatorname{sin} x + 27)^{\frac{1}{3}}$

1. $y = (3\operatorname{sin} x + 9)^{\frac{1}{3}}$

After integrating both sides:
Use $(0, 3)$ to solve for the value of $C$. Then write the equation in $y =$ form.