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

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

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e^x(dy)/(dx)+3e^xy=2

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

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

Solution steps

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

Solve linear ODE:

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

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

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