What is the solution for (dy)/(dx)=((5y))/((2x+3)(3x+2)) ?

The solution for (dy)/(dx)=((5y))/((2x+3)(3x+2)) is y=(3e^{c_{1}}x+2e^{c_{1}})/(2x+3)

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(dy)/(dx)=((5y))/((2x+3)(3x+2))

\frac{d y}{d x} = \frac{( 5 y )}{( 2 x + 3 ) ( 3 x + 2 )}

y = \frac{3 e ^{c_{1}} x + 2 e ^{c_{1}}}{2 x + 3}

Solution steps

\frac{d y}{d x} = \frac{( 5 y )}{( 2 x + 3 ) ( 3 x + 2 )}

Solve separable ODE:

y = \frac{3 e ^{c_{1}} x + 2 e ^{c_{1}}}{2 x + 3}

y = \frac{3 e ^{c_{1}} x + 2 e ^{c_{1}}}{2 x + 3}

0.125 y^{^{''}} + 4 y^{^{'}} + 20 y = 0

\frac{\partial}{\partial y} (\frac{x}{1 + x ^{2} + y ^{2}})

\int_{0}^{1} \frac{9 x}{e ^{2 x}} d x

\frac{d}{d x} (1 + \frac{3}{x})

What is the solution for (dy)/(dx)=((5y))/((2x+3)(3x+2)) ?
The solution for (dy)/(dx)=((5y))/((2x+3)(3x+2)) is y=(3e^{c_{1}}x+2e^{c_{1}})/(2x+3)