Question

Order and degree of a differential equation $\frac{d^{2}y}{d{x}^2}={\{y+{\left(\frac{dy}{dx}\right)}^2\}}^{1/4}$ are

• A. 4 and 2
• B. 1 and 2
• C. 1 and 4
• D. 2 and 4

Answer 1

Answer: (D)

2 and 4

$\frac{d^{2}y}{d{x}^2}={\{1+{\left(\frac{dy}{dx}\right)}^2\}}^{1/4}$

To find the degree and order the differential equation must be polynomilaa equation

$\Rightarrow {\left(\frac{d^{2}y}{d{x}^2}\right)}^4=1+{\left(\frac{dy}{dx}\right)}^2$

So, degree is $2$ and order is $4$.

So, option C is correct.