Which of these is a solution of xdy/dx = y?

Differential Equations · Question 20 of 67

Question 20

EasyOriginal question

Which of these is a solution of $x\frac{dy}{dx} = y$ ?

y = x^{2}

Correct answerYour answer

y = 3 x

Correct answerYour answer

y = e^{x}

Correct answerYour answer

y = x + 3

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Try $y = 3 x$ : $y' = 3$ .
Substituting makes both sides equal for every $x$ ; each of the others leaves something over.

Ten questions from Differential Equations, at your own pace.

Ten questions from Differential Equations, at your own pace.