Which of these is a solution of dy/dx = 2xy?

Differential Equations · Question 25 of 67

Question 25

MediumOriginal question

Which of these is a solution of $\frac{dy}{dx} = 2xy$ ?

y = e^{x^{2}}

Correct answerYour answer

y = x^{2}

Correct answerYour answer

y = e^{2 x}

Correct answerYour answer

y = 2 x

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Try $y = e^{x^{2}}$ : $y' = 2 x e^{x^{2}}$ .
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.