engineering recuitment GATE IN Test Series 2023-24 Mock Test Engineering Mathematics Differential Equations Order and Degree of a Differential Equation
Consider the following differential equation:
\({\left( {\frac{{{d^4}y}}{{d{x^4}}}} \right)^{\frac{1}{2}}} = {\left[ {1 + {{\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)}^2}} \right]^{\frac{1}{3}}}\)
Which of the following is/are true regarding the above differential equation?
1
The order of the differential equation is 4
2
The degree of the differential equation is 3
3
The degree of the differential equation is 4
4
The order of the differential equation is 3