### Home > APCALC > Chapter 10 > Lesson 10.1.1 > Problem10-8

10-8.

Multiple Choice: The solution to the differential equation $\frac { d y } { d x } = 6 x y$ if $(0, 4)$ lies on the graph of the solution curve is:

1. $y =4 e ^ { 3 x ^ { 2 } }$

1. $y =e ^ { 3 x ^ { 2 } }$

1. $y =e ^ { 3 x ^ { 2 } }$

1. $y = 3x^2 + 4$

1. none of these

$\frac{dy}{y}=6xdx$

$\int\frac{dy}{y}=\int6xdx$

$\ln|y|=3x^2+C$

$y=Ce^{3x^2}$

Use the point $(0, 4)$ to solve for the value of $C$.