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

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

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(dy)/(dx)+3y=e^{(-5x)}

\frac{d y}{d x} + 3 y = e^{(- 5 x)}

y = - \frac{1}{2 e ^{5 x}} + \frac{c _{1}}{e ^{3 x}}

Solution steps

\frac{d y}{d x} + 3 y = e^{(- 5 x)}

Solve linear ODE:

y = - \frac{1}{2 e ^{5 x}} + \frac{c _{1}}{e ^{3 x}}

y = - \frac{1}{2 e ^{5 x}} + \frac{c _{1}}{e ^{3 x}}

\int \frac{3 x ^{3}}{x ^{3} - 4 x} d x

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\frac{d y}{d x} = k y^{2}

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\int y^{2} e^{x y} + cos (x) d x

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