# math

Solve the differential equation

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

Find the solution to the equation y= ______

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1. This equation is separable, so
dy/dx = 6xy
dy/y = 6xdx
Integrate both sides,
log(y)=3x²+C1
y=Ce3x²
y(0)=40 -> C=40
therefore
y=40e3x²

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