Particular Solution to a Differential Equation

Question

Which of the following is the solution to the differential equation $$\displaystyle\frac{dy}{dx} = 3y^2$$ with the initial condition $$y(0) = \displaystyle\frac{1}{2}$$?

Accepted Answer

$$\displaystyle y = \frac{1}{2 - 3x}$$

Answer

$$\displaystyle y = \frac{3x}{2} + \frac{1}{2}$$

Answer

$$\displaystyle y = \frac{1}{2 + 3x}$$

Answer

$$\displaystyle y = \frac{1}{2}e^{3x}$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	melvinoohan	1	3	1m 25s	-5
#2	eftahsam	1	1	1m 58s	-18
#3	npgiahy151108	1	2	1m 49s	-19
#4	seojunj	1	3	3m 39s	-139

Particular Solution to a Differential Equation

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