Can someone please help?

Question

Solve the differential equation

dy/dx = 6xy
with the condition y(0) = 40

Find the solution to the equation y= ______

Answer 1

This equation is separable, so
dy/dx = 6xy
dy/y = 6xdx
Integrate both sides,
log(y)=3x²+C1
y=Ce^3x²
y(0)=40 -> C=40
therefore
y=40e^3x²