The order and degree of differential equation ( y d x 3 ) 2 - 3 y d x 2 + 2 ( dx ) 4 = y 4 are

Given that, ( y d x 3 ) 2 - 3 y d x 2 + 2 ( dx ) 4 = y 4 Order = 3 and degree = 2

Differential Equations — Class 12 Maths Solution

exemplar objective MCQ NCERT EXEMP.Q.67,Page.200

Question

The order and degree of differential equation
${\left( {\frac{{{d^3}y}}{{d{x^3}}}} \right)^2} - 3\frac{{{d^2}y}}{{d{x^2}}} + 2{\left( {\frac{{dy}}{{dx}}} \right)^4} = {y^4}$ are

(a) 1,4
(b) 3,4
(c) 2,4
(d) 3,2 ✓ Correct

Step-by-step Solution

Given that,

${\left( {\frac{{{d^3}y}}{{d{x^3}}}} \right)^2} - 3\frac{{{d^2}y}}{{d{x^2}}} + 2{\left( {\frac{{dy}}{{dx}}} \right)^4} = {y^4}$

$\therefore \quad$

Order $= 3$

and degree $= 2$

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