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

The solution for (dy)/(dx)=e(3x+2y) is y=-(3(2ex+1))/(4e)+c_{1}e^{2ex}

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

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

y = - \frac{3 ( 2 e x + 1 )}{4 e} + c_{1} e^{2 e x}

Solution steps

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

Solve linear ODE:

y = - \frac{3 ( 2 e x + 1 )}{4 e} + c_{1} e^{2 e x}

y = - \frac{3 ( 2 e x + 1 )}{4 e} + c_{1} e^{2 e x}

\frac{d}{d x} (ln (3 x + 2 x^{2}))

\frac{d}{d x} (7 e^{x} csc (x))

x \to 7.6 lim (8.6 x + 1.8)

f (x) = - x^{2} - 4 x + 4, at x = - 2

\frac{1 - 3 x + x ^{3}}{x ^{3}}

What is the solution for (dy)/(dx)=e(3x+2y) ?
The solution for (dy)/(dx)=e(3x+2y) is y=-(3(2ex+1))/(4e)+c_{1}e^{2ex}