Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Integral curve satisfying $\frac{d y}{d x}=\frac{x^2+y^2}{x^2-y^2}, y(1)=2$ has the slope at the point $(1,0)$ of the curve equal to

Options:

$-\frac{5}{3}$

-1

1

$\frac{5}{3}$

Correct Answer:

1

Explanation:

We have, $\frac{d y}{d x}=\frac{x^2+y^2}{x^2-y^2}$

∴  Slope of the tangent at $(1,0)=\left(\frac{d y}{d x}\right)_{(1,0)}=\frac{1+0}{1-0}=1$