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

12-72.

What is the solution to the differential equation

*y*^{2}·*y' −*cos*x*= 0 with initial condition y(0) = 3? Homework Help ✎*y*= (3 sin*x**−*sin 3)^{1/3}y = (3 sin

*x*)^{1/3}*y*= (3 sin*x*+ 27)^{1/3}*y*= (3 sin*x*+ 9)^{1/3}

After integrating both sides:

Use (0, 3) to solve for the value of *C*. Then write the equation in *y* = form.