MyQuestionIcon

3

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Algebra of Derivatives

Solve the fol...

Question

Solve the following differential equation.
$\frac{d y}{d x} = \frac{- 1}{x^{2}}$

Open in App

Solution

$\frac{d y}{d x} = \frac{- 1}{x^{2}}$ .
Integrating on both sides
$\int d y = \int \frac{- 1}{x^{2}} d x y = \frac{1}{x} + c$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Solve the following differential equation.

\frac{d y}{d x} = x^{2} + x

Q. Solve the differential equation

\frac{d y}{d x} + \frac{y}{x} = x^{2}

Q. Solve the differential equation,

\frac{d y}{d x} - \frac{2 x y}{1 + x^{2}} = x^{2} + 1

Q. Solve the differential equation

\frac{d y}{d x} = \frac{\sqrt{1 - y^{2}}}{\sqrt{1 - x^{2}}}

Q. Solve the differential equation:

\frac{d y}{d x} + \frac{4 x}{x^{2} + 1} y = \frac{1}{{(x^{2} + 1)}^{3}}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebra of Derivatives

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Algebra of Derivatives

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon