Question

The general solution of differential equation is${(y+c)}^2=cx$ where $c$ is an arbitrary constant. The order and degree of the differential equation are respectively:

• A. $1,2$
• B. $2,2$
• C. $1,1$
• D. $2,1$

Answer 1

Answer: (A)

$1,2$

Given equation is $(y+c{)}^2=cx$
=>$y=\sqrt{cx}-c$
=>$\frac{dy}{dx}=\sqrt{\frac{c}{x}}$
=>${\left(\frac{dy}{dx}\right)}^2=\frac{c}{x}$
The order of differential equation is the order of the highest derivative in the equation is 1
The degree of differential equation is the power of the highest order derivative in the equation is 2