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

Differential Equations · Question 48 of 67

Question 48

EasyOriginal question

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

y^2 - x^2 = C

Correct answerYour answer

y^2 + x^2 = C

Correct answerYour answer

y = x + C

Correct answerYour answer

y^2 = x + C

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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 $y^2 - x^2 = C$ .

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.