Separable Differential Equation With Initial Condition

Question

Which of the following is the solution to the differential equation $$\displaystyle\frac{dy}{dx} = y\cos(x)$$ with the initial condition $$y(0) = 2$$?

Accepted Answer

$$\displaystyle y = 2e^{\sin(x)}$$

Answer

$$\displaystyle y = 2\cos(x)$$

Answer

$$\displaystyle y = 2\sin(x) + 2$$

Answer

$$\displaystyle y = 2e^{\cos(x)}$$

Separable Differential Equation With Initial Condition

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