Solving a Separable Differential Equation

Question

Which of the following is the solution to the differential equation $$\displaystyle\frac{dy}{dx} = \displaystyle\frac{y}{x+1}$$ with the initial condition $$y(0) = 4$$?

Accepted Answer

$$\displaystyle y = 4(x+1)$$

Answer

$$\displaystyle y = \frac{4}{x+1}$$

Answer

$$\displaystyle y = 4\ln(x+1) + 4$$

Answer

$$\displaystyle y = 4e^{x+1}$$

Solving a Separable Differential Equation

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