Particular Solution to a Differential Equation

Question

What is the particular solution to the differential equation $$\displaystyle \frac{dy}{dx} = xy^2$$ satisfying the initial condition $$\displaystyle y(2) = 1$$?

Accepted Answer

$$\displaystyle y = \frac{2}{6 - x^2}$$

Answer

$$\displaystyle y = e^{\frac{x^2}{2}}$$

Answer

$$\displaystyle y = \frac{6 - x^2}{2}$$

Answer

$$\displaystyle y = e^{\frac{x^2}{2} - 2}$$

Particular Solution to a Differential Equation

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