What is the general solution of dy/dx = y^2?

Differential Equations · Question 55 of 67

Question 55

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What is the general solution of $\frac{dy}{dx} = y^2$ ?

-\frac{1}{y} = x + C

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\frac{1}{y} = x + C

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y^3 = 3x + C

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y = Ce^x

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CorrectNot quiteAnswer A

Correct answer: A

Separate the variables, with every $y$ on the side of $dy$ and every $x$ on the side of $dx$ .
Integrating both sides and collecting the constants gives $-\frac{1}{y} = x + C$ .

Worth noting

Check an answer by differentiating it: it must give back the equation.

Ten questions from Differential Equations, at your own pace.

Ten questions from Differential Equations, at your own pace.