Differential Equations Question 253
Question: The order and degree of the differential equation $ y=x\frac{dy}{dx}+\sqrt{a^{2}{{( \frac{dy}{dx} )}^{2}}+b^{2}} $ are
Options:
A) 1, 2
B) 2, 1
C) 1, 1
D) 2, 2
Show Answer
Answer:
Correct Answer: A
Solution:
Given differential equation can be written as $ y^{2}+x^{2}{{( \frac{dy}{dx} )}^{2}}-2xy.\frac{dy}{dx}=a^{2}{{( \frac{dy}{dx} )}^{2}}+b^{2} $ . Hence it is of $ 1^{st} $ order and $ 2^{nd} $ degree differential equation.
BETA
