### Home > APCALC > Chapter 10 > Lesson 10.1.2 > Problem10-21

10-21.

Write the equation of the curve whose derivative at every point $(x, y)$ is $\frac { 3 x ^ { 2 } } { 2 y }$ and passes through the point $(2, 1)$.

$2ydy=3x^2dx$

$\int2ydy=\int3x^2dx$

$y^2=x^3+C$

Use the given point to solve for $C$.