# Solve dy/dx = 9x*y

Solve the differential equation:$dy/dx= 9 xy$

Answer

$dy/dx = 9*xy$

$dy/y = 9*x*dx$

$\int(dy/y) = 9*\int(x*dx)$

$ln(y) + C1 = 9x^2/2 + C2$

$C2-C1 =C$

$ln(y) = 9*x^2/2 + C$

$y = exp (9x^2/2 + C)$

$Y = D*exp(9*x^2/2)$

where $D = exp(C)$ is also a constant.