Specialist2025 Exam 2 Section A · Q11CAS active1 mark

Domain of a separable DE solution

Given that $y(x)$ is a solution to the differential equation $\frac{dy}{dx} = x^2y^3$ , where $y(1) = 3$ , the domain of $y$ is

1 mark

x \le \left(\frac{7}{6}\right)^{\frac{1}{3}}

x < \left(\frac{7}{6}\right)^{\frac{1}{3}}

x \ge \left(\frac{7}{6}\right)^{\frac{1}{3}}

x > \left(\frac{7}{6}\right)^{\frac{1}{3}}

Hints, answer checking and worked solutions come with a Season Pass.