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$$c) 3e^{6}$$

The given differential equation is a first order linear homogeneous differential equation. We can solve it by separating variables and integrating.

  1. Rewrite the differential equation as:
    $$f'(x)=-2f(x)$$
  2. Separate the variables:
    $$\frac{df}{f}=-2dx$$
  3. Integrate both sides:
    $$\int \frac{df}{f} =-2\int dx$$
STEP 1
STEP 2
Gauth AI

$$c) 3e^{6}$$

The given differential equation is a first order linear homogeneous differential equation. We can solve it by separating variables and integrating.

  1. Rewrite the differential equation as:
    $$f'(x)=-2f(x)$$
  2. Separate the variables:
    $$\frac{df}{f}=-2dx$$
  3. Integrate both sides:
    $$\int \frac{df}{f} =-2\int dx$$
Explanation
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Gauth AI

$$c) 3e^{6}$$

The given differential equation is a first order linear homogeneous differential equation. We can solve it by separating variables and integrating.

  1. Rewrite the differential equation as:
    $$f'(x)=-2f(x)$$
  2. Separate the variables:
    $$\frac{df}{f}=-2dx$$
  3. Integrate both sides:
    $$\int \frac{df}{f} =-2\int dx$$

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