Free Sample Paper! Boost your grades with additional practice papers.
Question
Difficulty Level:

Easy

MCQ

Marcus tried to solve the differential equation dydx=13x2y2\frac{d y}{d x}=\frac{1}{3 x^{2} y^{2}}. This is his work:

dydx=13x2y2\frac{d y}{d x}=\frac{1}{3 x^{2} y^{2}}

Step 1 : 3y2dy=1x2dx\int 3 y^{2} d y=\int \frac{1}{x^{2}} d x

Step 2 :y3=1x+Cy^{3}=-\frac{1}{x}+C

Step 3 :

Is Marcus’s work correct? If not, what is his mistake?

Select all that apply :

Step 3 is incorrect. The right hand side of the equalion should be

Marcus’s Work is correct

Step 1 is wrong.

Step 2 is wrong.

0 Claps
- Create Free Account

Create a free account to view solution to this Question

By signing up, you accept PrepHub’sterms of serviceand dataprivacy policy.