Differential Equations Question 199
Question: Integral curve satisfying $ y’=\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
[MP PET 2000]
Options:
A) - 5/3
B) - 1
C) 1
D) 5/3
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{dy}{dx}=\frac{x^{2}+y^{2}}{x^{2}-y^{2}} $ and $ \frac{dy}{dx} $ is the slope of the curve, \ $ {{( \frac{dy}{dx} )} _{(1,0)}}=\frac{1+0}{1-0}=1 $ .
BETA
