What is the solution for (dy)/(dx)+0.4xy=9x ?

The solution for (dy)/(dx)+0.4xy=9x is y=(5e^{(-x^2+c_{1})/5})/(2)+45/2

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(dy)/(dx)+0.4xy=9x

\frac{d y}{d x} + 0.4 x y = 9 x

y = \frac{5 e ^{\frac{- x ^{2} + c _{1}}{5}}}{2} + \frac{45}{2}

Solution steps

\frac{d y}{d x} + 0.4 x y = 9 x

Solve separable ODE:

y = \frac{5 e ^{\frac{- x ^{2} + c _{1}}{5}}}{2} + \frac{45}{2}

y = \frac{5 e ^{\frac{- x ^{2} + c _{1}}{5}}}{2} + \frac{45}{2}

\frac{d}{d t} (cot (t))

y = 3 x^{3} - 6 x

\int w w - 3 d w

\int \frac{( x - 5 )}{x ^{2} + 2 x - 3} d x

\frac{( e ^{x} + e ^{- x} )}{2}

What is the solution for (dy)/(dx)+0.4xy=9x ?
The solution for (dy)/(dx)+0.4xy=9x is y=(5e^{(-x^2+c_{1})/5})/(2)+45/2